313712640000 has 1020 divisors, whose sum is σ = 1213656643056. Its totient is φ = 77856768000.

The previous prime is 313712639939. The next prime is 313712640029. The reversal of 313712640000 is 46217313.

313712640000 is a `hidden beast` number, since 3 + 1 + 3 + 7 + 12 + 640 + 0 + 0 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8478719982 + ... + 8478720018.

Almost surely, 2^313712640000 is an apocalyptic number.

313712640000 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 313712640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606828321528).

313712640000 is an abundant number, since it is smaller than the sum of its proper divisors (899944003056).

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

313712640000 is an frugal number, since it uses more digits than its factorization.

313712640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

Adding to 313712640000 its reverse (46217313), we get a palindrome (313758857313).

The spelling of 313712640000 in words is "three hundred thirteen billion, seven hundred twelve million, six hundred forty thousand".