10113988094400 has 336 divisors, whose sum is σ = 34942720665600. Its totient is φ = 2556128931840.

The previous prime is 10113988094381. The next prime is 10113988094401. The reversal of 10113988094400 is 449088931101.

It is a super-2 number, since 2×10113988094400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 10113988094400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10113988094401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11613361 + ... + 12453839.

Almost surely, 2^{10113988094400} is an apocalyptic number.

10113988094400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10113988094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17471360332800).

10113988094400 is an abundant number, since it is smaller than the sum of its proper divisors (24828732571200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10113988094400 is a wasteful number, since it uses less digits than its factorization.

10113988094400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840636 (or 840621 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 48.

The spelling of 10113988094400 in words is "ten trillion, one hundred thirteen billion, nine hundred eighty-eight million, ninety-four thousand, four hundred".