315196403558400 has 3456 divisors, whose sum is σ = 1482100626988800. Its totient is φ = 62121207398400.

The previous prime is 315196403558363. The next prime is 315196403558429. The reversal of 315196403558400 is 4855304691513.

315196403558400 is a `hidden beast` number, since 3 + 1 + 5 + 1 + 9 + 6 + 40 + 3 + 558 + 40 + 0 = 666.

It is a super-2 number, since 2×315196403558400² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 99087204810 + ... + 99087207990.

It is an arithmetic number, because the mean of its divisors is an integer number (428848561050).

Almost surely, 2^{315196403558400} is an apocalyptic number.

315196403558400 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 315196403558400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741050313494400).

315196403558400 is an abundant number, since it is smaller than the sum of its proper divisors (1166904223430400).

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

315196403558400 is a wasteful number, since it uses less digits than its factorization.

315196403558400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3395 (or 3367 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 315196403558400 in words is "three hundred fifteen trillion, one hundred ninety-six billion, four hundred three million, five hundred fifty-eight thousand, four hundred".