313640345370240 has 768 divisors, whose sum is σ = 1242422504294400. Its totient is φ = 71419624611840.

The previous prime is 313640345370197. The next prime is 313640345370271. The reversal of 313640345370240 is 42073543046313.

313640345370240 is a `hidden beast` number, since 3 + 1 + 3 + 6 + 4 + 0 + 34 + 5 + 370 + 240 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12231018859 + ... + 12231044501.

It is an arithmetic number, because the mean of its divisors is an integer number (1617737635800).

Almost surely, 2^{313640345370240} is an apocalyptic number.

313640345370240 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 313640345370240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621211252147200).

313640345370240 is an abundant number, since it is smaller than the sum of its proper divisors (928782158924160).

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

313640345370240 is a wasteful number, since it uses less digits than its factorization.

313640345370240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26805 (or 26790 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 45.

The spelling of 313640345370240 in words is "three hundred thirteen trillion, six hundred forty billion, three hundred forty-five million, three hundred seventy thousand, two hundred forty".