313207505879040 has 1904 divisors, whose sum is σ = 1165980856544640. Its totient is φ = 80691320586240.

The previous prime is 313207505878997. The next prime is 313207505879041. The reversal of 313207505879040 is 40978505702313.

313207505879040 is a `hidden beast` number, since 3 + 1 + 3 + 2 + 0 + 7 + 50 + 587 + 9 + 0 + 4 + 0 = 666.

It is a super-2 number, since 2×313207505879040² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (313207505879041) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1000662957924 + ... + 1000662958236.

Almost surely, 2^{313207505879040} is an apocalyptic number.

313207505879040 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 313207505879040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582990428272320).

313207505879040 is an abundant number, since it is smaller than the sum of its proper divisors (852773350665600).

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

313207505879040 is an frugal number, since it uses more digits than its factorization.

313207505879040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 313207505879040 in words is "three hundred thirteen trillion, two hundred seven billion, five hundred five million, eight hundred seventy-nine thousand, forty".