10400131024 has 20 divisors (see below), whose sum is σ = 20168458020. Its totient is φ = 5195367680.

The previous prime is 10400131019. The next prime is 10400131033. The reversal of 10400131024 is 42013100401.

It can be written as a sum of positive squares in 2 ways, for example, as 3169690000 + 7230441024 = 56300^2 + 85032^2 .

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 = 10400130989 and 10400131007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 275317 + ... + 310804.

It is an arithmetic number, because the mean of its divisors is an integer number (1008422901).

Almost surely, 2^10400131024 is an apocalyptic number.

It is an amenable number.

10400131024 is a deficient number, since it is larger than the sum of its proper divisors (9768326996).

10400131024 is a wasteful number, since it uses less digits than its factorization.

10400131024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587238 (or 587232 counting only the distinct ones).

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

Adding to 10400131024 its reverse (42013100401), we get a palindrome (52413231425).

The spelling of 10400131024 in words is "ten billion, four hundred million, one hundred thirty-one thousand, twenty-four".