315225324534400 has 768 divisors, whose sum is σ = 952984505088000. Its totient is φ = 100682304307200.

The previous prime is 315225324534391. The next prime is 315225324534413. The reversal of 315225324534400 is 4435423522513.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7731586015 + ... + 7731626785.

It is an arithmetic number, because the mean of its divisors is an integer number (1240865241000).

Almost surely, 2^{315225324534400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315225324534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476492252544000).

315225324534400 is an abundant number, since it is smaller than the sum of its proper divisors (637759180553600).

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

315225324534400 is a wasteful number, since it uses less digits than its factorization.

315225324534400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41217 (or 41200 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 43.

The spelling of 315225324534400 in words is "three hundred fifteen trillion, two hundred twenty-five billion, three hundred twenty-four million, five hundred thirty-four thousand, four hundred".