118056802406400 has 1248 divisors, whose sum is σ = 509519259930240. Its totient is φ = 26418216960000.

The previous prime is 118056802406359. The next prime is 118056802406467. The reversal of 118056802406400 is 4604208650811.

It is a happy number.

118056802406400 is a `hidden beast` number, since 1 + 1 + 8 + 0 + 568 + 0 + 2 + 40 + 6 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 395217100 + ... + 395515700.

Almost surely, 2^{118056802406400} is an apocalyptic number.

118056802406400 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 118056802406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254759629965120).

118056802406400 is an abundant number, since it is smaller than the sum of its proper divisors (391462457523840).

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

118056802406400 is a wasteful number, since it uses less digits than its factorization.

118056802406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298668 (or 298635 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 118056802406400 in words is "one hundred eighteen trillion, fifty-six billion, eight hundred two million, four hundred six thousand, four hundred".