401313636 has 96 divisors (see below), whose sum is σ = 1071060480. Its totient is φ = 129883392.

The previous prime is 401313599. The next prime is 401313643. The reversal of 401313636 is 636313104.

401313636 is a `hidden beast` number, since 4 + 0 + 13 + 13 + 636 = 666.

It is a super-2 number, since 2×401313636² = 322105268879080992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 877920 + ... + 878376.

It is an arithmetic number, because the mean of its divisors is an integer number (11156880).

Almost surely, 2^401313636 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401313636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535530240).

401313636 is an abundant number, since it is smaller than the sum of its proper divisors (669746844).

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

401313636 is a wasteful number, since it uses less digits than its factorization.

401313636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 401313636 is about 20032.8139810662. The cubic root of 401313636 is about 737.6119977760.

The spelling of 401313636 in words is "four hundred one million, three hundred thirteen thousand, six hundred thirty-six".