401313132 has 72 divisors (see below), whose sum is σ = 1117509120. Its totient is φ = 120417120.

The previous prime is 401313053. The next prime is 401313139. The reversal of 401313132 is 231313104.

It is a super-2 number, since 2×401313132² = 322104459831298848, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (401313139) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35869 + ... + 45707.

It is an arithmetic number, because the mean of its divisors is an integer number (15520960).

Almost surely, 2^401313132 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 401313132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558754560).

401313132 is an abundant number, since it is smaller than the sum of its proper divisors (716195988).

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

401313132 is a wasteful number, since it uses less digits than its factorization.

401313132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9963 (or 9958 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 401313132 is about 20032.8014017012. The cubic root of 401313132 is about 737.6116889929.

Adding to 401313132 its reverse (231313104), we get a palindrome (632626236).

The spelling of 401313132 in words is "four hundred one million, three hundred thirteen thousand, one hundred thirty-two".