315032263988400 has 960 divisors, whose sum is σ = 1358553924444160. Its totient is φ = 67801171046400.

The previous prime is 315032263988399. The next prime is 315032263988419. The reversal of 315032263988400 is 4889362230513.

315032263988400 is a `hidden beast` number, since 3 + 1 + 5 + 0 + 3 + 226 + 3 + 9 + 8 + 8 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 84896682 + ... + 88529718.

Almost surely, 2^{315032263988400} is an apocalyptic number.

315032263988400 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 315032263988400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679276962222080).

315032263988400 is an abundant number, since it is smaller than the sum of its proper divisors (1043521660455760).

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

315032263988400 is a wasteful number, since it uses less digits than its factorization.

315032263988400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3633139 (or 3633122 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 315032263988400 in words is "three hundred fifteen trillion, thirty-two billion, two hundred sixty-three million, nine hundred eighty-eight thousand, four hundred".