313310135403440 has 40 divisors (see below), whose sum is σ = 832509788359200. Its totient is φ = 107420617852416.

The previous prime is 313310135403409. The next prime is 313310135403451. The reversal of 313310135403440 is 44304531013313.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 313310135403440.

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 7 ways as a sum of consecutive naturals, for example, 279741191765 + ... + 279741192884.

It is an arithmetic number, because the mean of its divisors is an integer number (20812744708980).

Almost surely, 2^{313310135403440} is an apocalyptic number.

It is an amenable number.

313310135403440 is an abundant number, since it is smaller than the sum of its proper divisors (519199652955760).

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

313310135403440 is a wasteful number, since it uses less digits than its factorization.

313310135403440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559482384669 (or 559482384663 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 35.

Adding to 313310135403440 its reverse (44304531013313), we get a palindrome (357614666416753).

The spelling of 313310135403440 in words is "three hundred thirteen trillion, three hundred ten billion, one hundred thirty-five million, four hundred three thousand, four hundred forty".