313942408416 has 192 divisors, whose sum is σ = 1126973030400. Its totient is φ = 82797977088.

The previous prime is 313942408357. The next prime is 313942408427. The reversal of 313942408416 is 614804249313.

313942408416 is a `hidden beast` number, since 3 + 1 + 394 + 240 + 8 + 4 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1917856 + ... + 2075103.

It is an arithmetic number, because the mean of its divisors is an integer number (5869651200).

Almost surely, 2^313942408416 is an apocalyptic number.

313942408416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

313942408416 is an abundant number, since it is smaller than the sum of its proper divisors (813030621984).

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

313942408416 is a wasteful number, since it uses less digits than its factorization.

313942408416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3992998 (or 3992984 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 313942408416 in words is "three hundred thirteen billion, nine hundred forty-two million, four hundred eight thousand, four hundred sixteen".