405113311504 has 20 divisors (see below), whose sum is σ = 856262226960. Its totient is φ = 184142414240.

The previous prime is 405113311501. The next prime is 405113311513.

405113311504 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (405113311501) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1150889914 + ... + 1150890265.

It is an arithmetic number, because the mean of its divisors is an integer number (42813111348).

Almost surely, 2^405113311504 is an apocalyptic number.

405113311504 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

405113311504 is an abundant number, since it is smaller than the sum of its proper divisors (451148915456).

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

405113311504 is a wasteful number, since it uses less digits than its factorization.

405113311504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2301780198 (or 2301780192 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

It can be divided in two parts, 405113 and 311504, that added together give a palindrome (716617).

The spelling of 405113311504 in words is "four hundred five billion, one hundred thirteen million, three hundred eleven thousand, five hundred four".