401431120 has 20 divisors (see below), whose sum is σ = 933327540. Its totient is φ = 160572416.

The previous prime is 401431117. The next prime is 401431127. The reversal of 401431120 is 21134104.

It can be written as a sum of positive squares in 2 ways, for example, as 318693904 + 82737216 = 17852^2 + 9096^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×401431120² = 322293888208908800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 401431094 and 401431103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401431127) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2508865 + ... + 2509024.

It is an arithmetic number, because the mean of its divisors is an integer number (46666377).

Almost surely, 2^401431120 is an apocalyptic number.

401431120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401431120 is an abundant number, since it is smaller than the sum of its proper divisors (531896420).

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

401431120 is a wasteful number, since it uses less digits than its factorization.

401431120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5017902 (or 5017896 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 401431120 is about 20035.7460554879. The cubic root of 401431120 is about 737.6839690434.

Adding to 401431120 its reverse (21134104), we get a palindrome (422565224).

The spelling of 401431120 in words is "four hundred one million, four hundred thirty-one thousand, one hundred twenty".