115400502400 has 192 divisors, whose sum is σ = 296053317000. Its totient is φ = 44413747200.

The previous prime is 115400502383. The next prime is 115400502457. The reversal of 115400502400 is 4205004511.

It can be written as a sum of positive squares in 12 ways, for example, as 1140277824 + 114260224576 = 33768^2 + 338024^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9571576 + ... + 9583624.

Almost surely, 2^115400502400 is an apocalyptic number.

115400502400 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 115400502400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148026658500).

115400502400 is an abundant number, since it is smaller than the sum of its proper divisors (180652814600).

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

115400502400 is a wasteful number, since it uses less digits than its factorization.

115400502400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12187 (or 12170 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

Adding to 115400502400 its reverse (4205004511), we get a palindrome (119605506911).

The spelling of 115400502400 in words is "one hundred fifteen billion, four hundred million, five hundred two thousand, four hundred".