405313313504 has 72 divisors (see below), whose sum is σ = 879214417704. Its totient is φ = 182407616000.

The previous prime is 405313313497. The next prime is 405313313543.

405313313504 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3534314 + ... + 3647190.

It is an arithmetic number, because the mean of its divisors is an integer number (12211311357).

Almost surely, 2^405313313504 is an apocalyptic number.

405313313504 is a gapful number since it is divisible by the number (44) 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 405313313504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439607208852).

405313313504 is an abundant number, since it is smaller than the sum of its proper divisors (473901104200).

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

405313313504 is a wasteful number, since it uses less digits than its factorization.

405313313504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113100 (or 112991 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 32.

It can be divided in two parts, 405313 and 313504, that added together give a palindrome (718817).

The spelling of 405313313504 in words is "four hundred five billion, three hundred thirteen million, three hundred thirteen thousand, five hundred four".