315402113402400 has 288 divisors, whose sum is σ = 1036752397349760. Its totient is φ = 83278506516480.

The previous prime is 315402113402393. The next prime is 315402113402401. The reversal of 315402113402400 is 4204311204513.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (315402113402401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1762199314 + ... + 1762378286.

It is an arithmetic number, because the mean of its divisors is an integer number (3599834713020).

Almost surely, 2^{315402113402400} is an apocalyptic number.

315402113402400 is a gapful number since it is divisible by the number (30) 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 315402113402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518376198674880).

315402113402400 is an abundant number, since it is smaller than the sum of its proper divisors (721350283947360).

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

315402113402400 is a wasteful number, since it uses less digits than its factorization.

315402113402400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186228 (or 186215 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 315402113402400 its reverse (4204311204513), we get a palindrome (319606424606913).

The spelling of 315402113402400 in words is "three hundred fifteen trillion, four hundred two billion, one hundred thirteen million, four hundred two thousand, four hundred".