401431040 has 80 divisors (see below), whose sum is σ = 968060808. Its totient is φ = 159645696.

The previous prime is 401431001. The next prime is 401431061. The reversal of 401431040 is 40134104.

It can be written as a sum of positive squares in 4 ways, for example, as 230553856 + 170877184 = 15184^2 + 13072^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×401431040² = 322293759750963200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 596144 + ... + 596816.

Almost surely, 2^401431040 is an apocalyptic number.

401431040 is a gapful number since it is divisible by the number (40) 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 401431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484030404).

401431040 is an abundant number, since it is smaller than the sum of its proper divisors (566629768).

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

401431040 is an equidigital number, since it uses as much as digits as its factorization.

401431040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 401431040 is about 20035.7440590561. The cubic root of 401431040 is about 737.6839200398.

Adding to 401431040 its reverse (40134104), we get a palindrome (441565144).

The spelling of 401431040 in words is "four hundred one million, four hundred thirty-one thousand, forty".