315400810560 has 448 divisors, whose sum is σ = 1143151570944. Its totient is φ = 72929894400.

The previous prime is 315400810531. The next prime is 315400810561. The reversal of 315400810560 is 65018004513.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (315400810561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 96421725 + ... + 96424995.

Almost surely, 2^315400810560 is an apocalyptic number.

315400810560 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 315400810560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571575785472).

315400810560 is an abundant number, since it is smaller than the sum of its proper divisors (827750760384).

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

315400810560 is a wasteful number, since it uses less digits than its factorization.

315400810560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3722 (or 3712 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The spelling of 315400810560 in words is "three hundred fifteen billion, four hundred million, eight hundred ten thousand, five hundred sixty".