313038663840 has 432 divisors, whose sum is σ = 1255489987752. Its totient is φ = 70812499968.

The previous prime is 313038663781. The next prime is 313038663871. The reversal of 313038663840 is 48366830313.

313038663840 is a `hidden beast` number, since 3 + 1 + 3 + 0 + 3 + 8 + 6 + 638 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 204003982224 + 109034681616 = 451668^2 + 330204^2 .

It is a super-3 number, since 3×313038663840³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6821452 + ... + 6867188.

Almost surely, 2^313038663840 is an apocalyptic number.

313038663840 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 313038663840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627744993876).

313038663840 is an abundant number, since it is smaller than the sum of its proper divisors (942451323912).

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

313038663840 is a wasteful number, since it uses less digits than its factorization.

313038663840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45869 (or 45851 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 313038663840 in words is "three hundred thirteen billion, thirty-eight million, six hundred sixty-three thousand, eight hundred forty".