115233402400 has 144 divisors (see below), whose sum is σ = 291275497800. Its totient is φ = 44463964160.

The previous prime is 115233402379. The next prime is 115233402409. The reversal of 115233402400 is 4204332511.

115233402400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 331385616 + 114902016784 = 18204^2 + 338972^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (115233402409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49391634 + ... + 49393966.

Almost surely, 2^115233402400 is an apocalyptic number.

115233402400 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 115233402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145637748900).

115233402400 is an abundant number, since it is smaller than the sum of its proper divisors (176042095400).

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

115233402400 is a wasteful number, since it uses less digits than its factorization.

115233402400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4511 (or 4498 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 115233402400 its reverse (4204332511), we get a palindrome (119437734911).

The spelling of 115233402400 in words is "one hundred fifteen billion, two hundred thirty-three million, four hundred two thousand, four hundred".