405313101313504 has 48 divisors (see below), whose sum is σ = 813392173638576. Its totient is φ = 198774815872000.

The previous prime is 405313101313469. The next prime is 405313101313517.

405313101313504 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 405313101313504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 585664837 + ... + 586356484.

It is an arithmetic number, because the mean of its divisors is an integer number (16945670284137).

Almost surely, 2^{405313101313504} is an apocalyptic number.

It is an amenable number.

405313101313504 is an abundant number, since it is smaller than the sum of its proper divisors (408079072325072).

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

405313101313504 is a wasteful number, since it uses less digits than its factorization.

405313101313504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172021539 (or 1172021531 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 34.

It can be divided in two parts, 40531310 and 1313504, that added together give a palindrome (41844814).

The spelling of 405313101313504 in words is "four hundred five trillion, three hundred thirteen billion, one hundred one million, three hundred thirteen thousand, five hundred four".