313061072640 has 288 divisors, whose sum is σ = 1053481524480. Its totient is φ = 79012528128.

The previous prime is 313061072633. The next prime is 313061072677. The reversal of 313061072640 is 46270160313.

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, 139571359 + ... + 139573601.

It is an arithmetic number, because the mean of its divisors is an integer number (3657921960).

Almost surely, 2^313061072640 is an apocalyptic number.

313061072640 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 313061072640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526740762240).

313061072640 is an abundant number, since it is smaller than the sum of its proper divisors (740420451840).

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

313061072640 is a wasteful number, since it uses less digits than its factorization.

313061072640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4199 (or 4185 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The spelling of 313061072640 in words is "three hundred thirteen billion, sixty-one million, seventy-two thousand, six hundred forty".