115790438400 has 1344 divisors, whose sum is σ = 500559628800. Its totient is φ = 22932357120.

The previous prime is 115790438383. The next prime is 115790438453. The reversal of 115790438400 is 4834097511.

It is a happy number.

115790438400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 1062297546 + ... + 1062297654.

It is an arithmetic number, because the mean of its divisors is an integer number (372440200).

Almost surely, 2^115790438400 is an apocalyptic number.

115790438400 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 115790438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250279814400).

115790438400 is an abundant number, since it is smaller than the sum of its proper divisors (384769190400).

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

115790438400 is a wasteful number, since it uses less digits than its factorization.

115790438400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 115790438400 in words is "one hundred fifteen billion, seven hundred ninety million, four hundred thirty-eight thousand, four hundred".