316416106400 has 72 divisors (see below), whose sum is σ = 776112138144. Its totient is φ = 125966534400.

The previous prime is 316416106387. The next prime is 316416106427. The reversal of 316416106400 is 4601614613.

It is a super-2 number, since 2×316416106400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 768452 + ... + 1106051.

It is an arithmetic number, because the mean of its divisors is an integer number (10779335252).

Almost surely, 2^316416106400 is an apocalyptic number.

It is an amenable number.

316416106400 is an abundant number, since it is smaller than the sum of its proper divisors (459696031744).

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

316416106400 is a wasteful number, since it uses less digits than its factorization.

316416106400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1874734 (or 1874721 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The spelling of 316416106400 in words is "three hundred sixteen billion, four hundred sixteen million, one hundred six thousand, four hundred".