10400431000 has 32 divisors (see below), whose sum is σ = 24337010880. Its totient is φ = 4160172000.

The previous prime is 10400430967. The next prime is 10400431001. The reversal of 10400431000 is 13400401.

It is a super-2 number, since 2×10400431000² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10400431001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5199216 + ... + 5201215.

It is an arithmetic number, because the mean of its divisors is an integer number (760531590).

Almost surely, 2^10400431000 is an apocalyptic number.

10400431000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10400431000 is an abundant number, since it is smaller than the sum of its proper divisors (13936579880).

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

10400431000 is a wasteful number, since it uses less digits than its factorization.

10400431000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10400452 (or 10400438 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 10400431000 its reverse (13400401), we get a palindrome (10413831401).

The spelling of 10400431000 in words is "ten billion, four hundred million, four hundred thirty-one thousand".