401312016 has 80 divisors (see below), whose sum is σ = 1316483200. Its totient is φ = 114659712.

The previous prime is 401311993. The next prime is 401312017. The reversal of 401312016 is 610213104.

It is a happy number.

It is a super-2 number, since 2×401312016² = 322102668371968512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 401312016.

It is not an unprimeable number, because it can be changed into a prime (401312017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63331 + ... + 69378.

It is an arithmetic number, because the mean of its divisors is an integer number (16456040).

Almost surely, 2^401312016 is an apocalyptic number.

It is an amenable number.

401312016 is an abundant number, since it is smaller than the sum of its proper divisors (915171184).

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

401312016 is a wasteful number, since it uses less digits than its factorization.

401312016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132733 (or 132721 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 401312016 is about 20032.7735473648. The cubic root of 401312016 is about 737.6110052580.

The spelling of 401312016 in words is "four hundred one million, three hundred twelve thousand, sixteen".