What is 1038 factorial?

1038! = 83638109462335691855.... It has 2682 digits and 257 trailing zeros.

Calculate the factorial of 1038 - Factorial Calculator

Quick Answer: 1038! = 8363810946...0000
2,682 digits | 257 trailing zeros

Factorial Calculator Until 10,000

Factorial Triangular Fibonacci

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

1038! Result

83638109462335691855...00000000

How 1038! is calculated

The number of trailing zeros in 1038! is 257.
The number of digits in 1038 factorial is 2682.
In scientific notation: 1038! ≈ 8.363810 × 10²⁶⁸¹
The factorial of 1038 is calculated, through its definition, this way:
1038! = 1038 • 1037 • 1036 • 1035 • 1034 ... 3 • 2 • 1

Exact value of 1038!

1038! = 836381094623356918552962635901663615193105542812418790831770610458999767679293178299510251188689229380775555111637111383979194585887815880221526874504950533960800536847954370223294355995679156693957276691173463880375501107842098327614939098603911219549762281862353004103930371672127380309588956228508019088084258496907024847485398458954680937764145257965219160371955051559835807786744963468576936321479928595745806317389863683919827402933438676254068193180988562594075304693414120716419039882260441052731974022086196085962193331386135848130854783282005559770717597103179107002159769685848591931675165590641985199726422888075612591895569874764568626063735441770029651503691089281764362217064567828838619575468385545964690800764911247400237704221287873815782308284839863119239468709494710426543563152419782537352524085030172244863384595660196622278562208208041694593373998013636248570156831023066647363338416193624106777555003189766568485864238686455363996826962983156601360904987085502495392979775409130904938979188703658022699958865447657818643725343481944378877754047418858825362033135583474629496304600652135636827825948599958116860183610570378506374473065764445544426255289108258989579944764401412534489217444920795195558030980187917933943526695543008226249977886107955668505468173881080227596198406570891075661100969962672226165657952821983590817435085882805749951400458126635851464238738144925168315793163297175153271448625009019747245591402360647357160450236214070140939974409626654885632434096693945975153847952248316137743350268062005405400711311966994453495612679728403101597934299687945915960241807072594084521489152855248651380538199686506417288529308863056866444904663929473804974727463259274586082749811803335336451185393665688918617434852667959691815554480178988978606799963990007124862775423477925177104829752616012539305435661696545388836390864964687198682520875375247376583413003776294292579216735088439706200159756152078634121768320403745276423919382135350973005684778212978025617768368142261758315778633077423601661216013285697506905307346568281567876775224724995623543265515481571935824990736136437636746906423939355493828578274880903882499736794278842545798001657458204776016277236267002548817906363361680424889172155398001647839766537610280327982231809904863176351444694736604000436108966617136050492322495674071529202313350723560043041991265896694242250496676207208463267683517786461347854763889682022400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Nearby Factorials

n	n!	Digits	Trailing Zeros
1033!	70082155...0000	2,667	256
1034!	72464949...0000	2,670	256
1035!	75001222...0000	2,673	257
1036!	77701266...0000	2,676	257
1037!	80576213...0000	2,679	257
1038!	83638109...0000	2,682	257
1039!	86899995...0000	2,685	257
1040!	90375995...0000	2,688	258
1041!	94081411...0000	2,691	258
1042!	98032830...0000	2,694	258
1043!	10224824...0000	2,698	258

More factorial calculations

Here you can find answers to questions like: Calculate the factorial of 1038 What is the factorial of 1038? What is the last digits of factorial of 1038? How many trailing zeros in 1038 factorial? How many digits are there in 1038 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	#

Factorial Calculator

Please link to this page! Just right click on the above image, choose copy link address, then past it in your HTML.

Popular Factorial Calculations

Top factorial calculations based on search data:

Trailing Zeros in Factorials

Find how many trailing zeros are in n! using Legendre's formula:

Digits in Factorials

Find how many digits are in n! using Stirling's approximation: