318107744855040 has 2112 divisors, whose sum is σ = 1220503859055360. Its totient is φ = 70488969707520.

The previous prime is 318107744854981. The next prime is 318107744855063. The reversal of 318107744855040 is 40558447701813.

It is a super-2 number, since 2×318107744855040² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1389116789646 + ... + 1389116789874.

It is an arithmetic number, because the mean of its divisors is an integer number (577890084780).

Almost surely, 2^{318107744855040} is an apocalyptic number.

318107744855040 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 318107744855040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610251929527680).

318107744855040 is an abundant number, since it is smaller than the sum of its proper divisors (902396114200320).

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

318107744855040 is a wasteful number, since it uses less digits than its factorization.

318107744855040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 15052800, while the sum is 57.

The spelling of 318107744855040 in words is "three hundred eighteen trillion, one hundred seven billion, seven hundred forty-four million, eight hundred fifty-five thousand, forty".