115466342400 has 390 divisors, whose sum is σ = 427745667602. Its totient is φ = 30788812800.

The previous prime is 115466342389. The next prime is 115466342417. The reversal of 115466342400 is 4243664511.

115466342400 is a `hidden beast` number, since 1 + 15 + 4 + 6 + 634 + 2 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 9929723904 + 105536618496 = 99648^2 + 324864^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 8287440 + ... + 8301360.

Almost surely, 2^115466342400 is an apocalyptic number.

115466342400 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 115466342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213872833801).

115466342400 is an abundant number, since it is smaller than the sum of its proper divisors (312279325202).

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

115466342400 is an equidigital number, since it uses as much as digits as its factorization.

115466342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13967 (or 13931 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 115466342400 in words is "one hundred fifteen billion, four hundred sixty-six million, three hundred forty-two thousand, four hundred".