401313313104 has 80 divisors (see below), whose sum is σ = 1132517913024. Its totient is φ = 121444070400.

The previous prime is 401313313097. The next prime is 401313313117.

401313313104 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×401313313104² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131437 + ... + 905484.

Almost surely, 2^401313313104 is an apocalyptic number.

401313313104 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 401313313104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566258956512).

401313313104 is an abundant number, since it is smaller than the sum of its proper divisors (731204599920).

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

401313313104 is a wasteful number, since it uses less digits than its factorization.

401313313104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037676 (or 1037670 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 401313 and 313104, that added together give a palindrome (714417).

The spelling of 401313313104 in words is "four hundred one billion, three hundred thirteen million, three hundred thirteen thousand, one hundred four".