118242505798400 has 432 divisors, whose sum is σ = 299826329761728. Its totient is φ = 46154121216000.

The previous prime is 118242505798343. The next prime is 118242505798429. The reversal of 118242505798400 is 4897505242811.

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26387524160 + ... + 26387528640.

It is an arithmetic number, because the mean of its divisors is an integer number (694042430004).

Almost surely, 2^{118242505798400} is an apocalyptic number.

118242505798400 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 118242505798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149913164880864).

118242505798400 is an abundant number, since it is smaller than the sum of its proper divisors (181583823963328).

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

118242505798400 is a wasteful number, since it uses less digits than its factorization.

118242505798400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5088 (or 5069 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 56.

The spelling of 118242505798400 in words is "one hundred eighteen trillion, two hundred forty-two billion, five hundred five million, seven hundred ninety-eight thousand, four hundred".