406313313604 has 96 divisors (see below), whose sum is σ = 820033708032. Its totient is φ = 174424320000.

The previous prime is 406313313577. The next prime is 406313313607.

406313313604 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 406313313604.

It is not an unprimeable number, because it can be changed into a prime (406313313607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93899689 + ... + 93904015.

It is an arithmetic number, because the mean of its divisors is an integer number (8542017792).

Almost surely, 2^406313313604 is an apocalyptic number.

406313313604 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

406313313604 is an abundant number, since it is smaller than the sum of its proper divisors (413720394428).

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

406313313604 is a wasteful number, since it uses less digits than its factorization.

406313313604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6017 (or 6015 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 34.

It can be divided in two parts, 406313 and 313604, that added together give a palindrome (719917).

The spelling of 406313313604 in words is "four hundred six billion, three hundred thirteen million, three hundred thirteen thousand, six hundred four".