315332350010400 has 288 divisors, whose sum is σ = 1033649219715840. Its totient is φ = 83497245189120.

The previous prime is 315332350010317. The next prime is 315332350010459. The reversal of 315332350010400 is 4010053233513.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 205715607 + ... + 207242793.

It is an arithmetic number, because the mean of its divisors is an integer number (3589059790680).

Almost surely, 2^{315332350010400} is an apocalyptic number.

315332350010400 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 315332350010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516824609857920).

315332350010400 is an abundant number, since it is smaller than the sum of its proper divisors (718316869705440).

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

315332350010400 is a wasteful number, since it uses less digits than its factorization.

315332350010400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1527816 (or 1527803 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 30.

The spelling of 315332350010400 in words is "three hundred fifteen trillion, three hundred thirty-two billion, three hundred fifty million, ten thousand, four hundred".