115331002400 has 36 divisors (see below), whose sum is σ = 281551811562. Its totient is φ = 46132400640.

The previous prime is 115331002379. The next prime is 115331002417. The reversal of 115331002400 is 4200133511.

It can be written as a sum of positive squares in 3 ways, for example, as 102504986896 + 12826015504 = 320164^2 + 113252^2 .

It is a super-2 number, since 2×115331002400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 72081077 + ... + 72082676.

Almost surely, 2^115331002400 is an apocalyptic number.

115331002400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

115331002400 is an abundant number, since it is smaller than the sum of its proper divisors (166220809162).

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

115331002400 is a wasteful number, since it uses less digits than its factorization.

115331002400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144163773 (or 144163760 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 115331002400 its reverse (4200133511), we get a palindrome (119531135911).

The spelling of 115331002400 in words is "one hundred fifteen billion, three hundred thirty-one million, two thousand, four hundred".