401308040 has 48 divisors (see below), whose sum is σ = 1050367500. Its totient is φ = 137590656.

The previous prime is 401308027. The next prime is 401308057. The reversal of 401308040 is 40803104.

It can be written as a sum of positive squares in 2 ways, for example, as 393546244 + 7761796 = 19838^2 + 2786^2 .

It is a super-2 number, since 2×401308040² = 322096285937283200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100415 + ... + 104334.

Almost surely, 2^401308040 is an apocalyptic number.

401308040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401308040 is an abundant number, since it is smaller than the sum of its proper divisors (649059460).

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

401308040 is a wasteful number, since it uses less digits than its factorization.

401308040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204774 (or 204763 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 401308040 is about 20032.6743097371. The cubic root of 401308040 is about 737.6085692889.

The spelling of 401308040 in words is "four hundred one million, three hundred eight thousand, forty".