113440079390400 has 2016 divisors, whose sum is σ = 487641168967680. Its totient is φ = 24451988520960.

The previous prime is 113440079390383. The next prime is 113440079390437. The reversal of 113440079390400 is 4093970044311.

113440079390400 is a `hidden beast` number, since 1 + 1 + 34 + 40 + 0 + 7 + 93 + 90 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×113440079390400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 103787812254 + ... + 103787813346.

It is an arithmetic number, because the mean of its divisors is an integer number (241885500480).

Almost surely, 2^{113440079390400} is an apocalyptic number.

113440079390400 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 113440079390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243820584483840).

113440079390400 is an abundant number, since it is smaller than the sum of its proper divisors (374201089577280).

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

113440079390400 is a wasteful number, since it uses less digits than its factorization.

113440079390400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1743 (or 1725 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 113440079390400 in words is "one hundred thirteen trillion, four hundred forty billion, seventy-nine million, three hundred ninety thousand, four hundred".