315320412400 has 60 divisors (see below), whose sum is σ = 865779768592. Its totient is φ = 108109854720.

The previous prime is 315320412391. The next prime is 315320412413. The reversal of 315320412400 is 4214023513.

It is a super-2 number, since 2×315320412400² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56304417 + ... + 56310016.

Almost surely, 2^315320412400 is an apocalyptic number.

It is an amenable number.

315320412400 is an abundant number, since it is smaller than the sum of its proper divisors (550459356192).

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

315320412400 is a wasteful number, since it uses less digits than its factorization.

315320412400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112614458 (or 112614447 counting only the distinct ones).

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

Adding to 315320412400 its reverse (4214023513), we get a palindrome (319534435913).

The spelling of 315320412400 in words is "three hundred fifteen billion, three hundred twenty million, four hundred twelve thousand, four hundred".