What is 4000 factorial?

4000! = 18288019515140650133.... It has 12674 digits and 999 trailing zeros.

Calculate the factorial of 4000 - Factorial Calculator

Quick Answer: 4000! = 1828801951...0000
12,674 digits | 999 trailing zeros

Factorial Calculator Until 10,000

Factorial Triangular Fibonacci

Enter a natural number (0 - 10,000):

4000! Result

18288019515140650133...00000000

How 4000! is calculated

The number of trailing zeros in 4000! is 999.
The number of digits in 4000 factorial is 12674.
In scientific notation: 4000! ≈ 1.828801 × 10¹²⁶⁷³
The factorial of 4000 is calculated, through its definition, this way:
4000! = 4000 • 3999 • 3998 • 3997 • 3996 ... 3 • 2 • 1

Exact value of 4000!

4000! = 18288019515140650133147431755739190442173777107304392197064526954208959797973177364850370286870484107336443041569285571754672461861543557333942615617956996716745284831597317498818760937482804980419576512948720610558928129788097800620593429537705326740624453884285091743951756746144447362378722469436194575929579900114212973360658998073977714697261205048663725936337490404066097966637170254021348800944280342285355946649681316260163459743803577175903394733170076841764779082166891184529324230033414145497801832598218518406552257097392530024582738982919104406782168708871495603501905867399966298798534877747923179195791416504408054878974770308650707120878837624986576073340449414854578367383301715706358194127400849855604080473305196833482408079420964275187538889115296655522397723924887154624810659788321005620558369604778657904771918388054319251513981954296741688447246185021250402225010116433016818588036690180177691461779713104301640395708274734701186772756966064611023656528765138735704190876200697145804692125236821066805337175220605745377557452592208653939853278523841448314026548802309860391087939783218946129582647928430739985554883806198749831633640196211202756086016039171607744078776876219661603702759454887945247605749205543464095883664514960293873244842409803801480566600124415293789831496309554117113888561569494314926134470477513516416560102984058751906208865570183683850791317395702861350821464653600469443279077733978568711404244774089509216727922510660941411716412467443445414001188915966547283773988670739792818897314762082568914041952211779194055311405259158538932388745292324386826830135904886472292289993848482289254307628467614523292519222687689180219788377184005246290896703260524910362136627321135976515358528150143796798116836263053229733971612275184896139539613129329008449214723196703789119820971205922195513915546814704778682373487718946560822811623038853887054357316290622378472322045316639418491798517077275839637525427601452961835674484434498885698840692468550825765131610925966585339561854456154229048295742274725126218799745448031391826295221114381890600683208441558088271228618006589059444108806652992787854634497487158675770983422610936590600627170500972481399444145398522756870626097250230229195799277299921844954715690883242553569256657132515663544931830393317518828986443942138971609142621397646808351809694603734872977984148002699965137870448199866167162949256435040416146886823942144459105175033488395869910405207521329016842673168563837531518918339627724066152933627236730561155418227888673513937454508103826102827706121560330906016404162420051373313654570111102003319577878502216919170112074608722852376799943191590480651623958062982829452035227119036502426583752512199824089725611711059153935434418985109241404135069047109527514730648502064630431371185922523036941621026392783813435540195800531988645430344745298845640017082732623248838473771603478336326662579219137601422632057648758807935233915527562817942378675243919886800056209434731407685691942327092464101136254795499159351103542747723434544436366313104996373661654989465498180892716462805042227038222104784062626027480151567377841821316292095295686368619300417863327530764301323081902435971165925163513225511176258919471673437553320934916910573999020966087207663133871516530391787535755420348174519954013015999193335205032571176460105005716115305748669364682675265014310223271762807620242805617435594927890676408953057384890719681225840400396698155624793888816156585043604782961704971397764959404751358445856914581957186533573207690355894150776647727994156425641953755517727965486096675384222232344185537279888780570854092084221993660761154788359777439798490851148031275123759286793224660188593768897291749180357297185650430735063126035278321749629995702200115722386600046772883018963166273463715186812543356173550341233310175600817771447170656517505385258772069067139665478506263898380526394388218036388768999161538645432932116471146392562992204259450889291928261780531925618148311151259088519869787637913607866079920830781433275298468534248595471485354420794089854693167644320115900404444471266030942746376074187982809857292874382829734306879420308783010740784767155894363033186129183748698373599293267795620690003900348542140553208244771165593739117369452474295075445169488356550100854423929030967163401348223503674045821834526710830392520955478859202303175309815706259592416130388770535449570146586161954289529234209342432075461261173246383180702862172009624828852517861214008242944903162464816939278645210656431141653019224783906038062818006434258491952705341708781231767324026544165240012431457995565227331912056216396141277926932316783631899833106810492890045890947294731794016389385348294079360921757589715698098491612254898203787546124091057862387229987442131738499764391062422228395736099751277880661280909246369674792326056952220508861243875642482808175793303703933394191224832165950388337931626643339913192088808753619030386928808349931733881036690498513779587801764477865791351420222949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Nearby Factorials

n	n!	Digits	Trailing Zeros
3995!	17904115...0000	12,656	996
3996!	71544844...0000	12,659	996
3997!	28596474...0000	12,663	996
3998!	11432870...0000	12,667	996
3999!	45720048...0000	12,670	996
4000!	18288019...0000	12,674	999
4001!	73170366...0000	12,677	999
4002!	29282780...0000	12,681	999
4003!	11721897...0000	12,685	999
4004!	46934475...0000	12,688	999
4005!	18797257...0000	12,692	1000

More factorial calculations

Here you can find answers to questions like: Calculate the factorial of 4000 What is the factorial of 4000? What is the last digits of factorial of 4000? How many trailing zeros in 4000 factorial? How many digits are there in 4000 factorial? Use the factorial calculator above to find the factorial of any natural between 0 and 10,000.

What is factorial?

Definition of factorial

The factorial is a quantity defined for any integer n greater than or equal to 0.

The factorial is the product of all integers less than or equal to n but greater than or equal to 1. The factorial value of 0 is, by definition, equal to 1. For negative integers, factorials are not defined. The factorial can be seen as the result of multiplying a sequence of descending natural numbers (such as 3 × 2 × 1).

The factorial symbol is the exclamation mark (!).

The factorial formula

If n is a natural number greater than or equal to 1, then

n! = n x (n - 1) x (n - 2) x (n - 3) ... 3 x 2 x 1

If n = 0, then n! = 1, by convention.

Example: 6! = 6 x 5 x 4 x 3 x 2 x 1 = 720

Shortcut to find trailing zeros in a factorial

Trailing zeros are a sequence of zeros in the decimal representation of a number, after which no other digits follow. This video shows how to find the trailing zeros of a factorial easily.

Table of factorials until 30

n	n!
1!	1	#
2!	2	#
3!	6	#
4!	24	#
5!	120	#
6!	720	#
7!	5040	#
8!	40320	#
9!	362880	#
10!	3628800	#
11!	39916800	#
12!	479001600	#
13!	6227020800	#
14!	87178291200	#
15!	1307674368000	#
16!	20922789888000	#
17!	355687428096000	#
18!	6402373705728000	#
19!	121645100408832000	#
20!	2432902008176640000	#
21!	51090942171709440000	#
22!	1124000727777607680000	#
23!	25852016738884976640000	#
24!	620448401733239439360000	#
25!	15511210043330985984000000	#
26!	403291461126605635584000000	#
27!	10888869450418352160768000000	#
28!	304888344611713860501504000000	#
29!	8841761993739701954543616000000	#
30!	265252859812191058636308480000000	#

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Trailing Zeros in Factorials

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Digits in Factorials

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