10400513032 has 48 divisors (see below), whose sum is σ = 24429788460. Its totient is φ = 4114486656.

The previous prime is 10400513023. The next prime is 10400513047. The reversal of 10400513032 is 23031500401.

10400513032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 7875852516 + 2524660516 = 88746^2 + 50246^2 .

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, 1015363 + ... + 1025554.

Almost surely, 2^10400513032 is an apocalyptic number.

It is an amenable number.

10400513032 is an abundant number, since it is smaller than the sum of its proper divisors (14029275428).

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

10400513032 is a wasteful number, since it uses less digits than its factorization.

10400513032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2040950 (or 2040939 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The spelling of 10400513032 in words is "ten billion, four hundred million, five hundred thirteen thousand, thirty-two".