313511639040 has 864 divisors, whose sum is σ = 1176706440000. Its totient is φ = 77167853568.

The previous prime is 313511639011. The next prime is 313511639047. The reversal of 313511639040 is 40936115313.

It is a happy number.

313511639040 is a `hidden beast` number, since 3 + 1 + 3 + 5 + 11 + 639 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 313511638986 and 313511639004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313511639047) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2104104886 + ... + 2104105034.

It is an arithmetic number, because the mean of its divisors is an integer number (1361928750).

Almost surely, 2^313511639040 is an apocalyptic number.

313511639040 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 313511639040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588353220000).

313511639040 is an abundant number, since it is smaller than the sum of its proper divisors (863194800960).

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

313511639040 is a wasteful number, since it uses less digits than its factorization.

313511639040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 313511639040 in words is "three hundred thirteen billion, five hundred eleven million, six hundred thirty-nine thousand, forty".