10330431010400 has 72 divisors (see below), whose sum is σ = 25386179336784. Its totient is φ = 4104806976000.

The previous prime is 10330431010387. The next prime is 10330431010439. The reversal of 10330431010400 is 401013403301.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42637607 + ... + 42879206.

It is an arithmetic number, because the mean of its divisors is an integer number (352585824122).

Almost surely, 2^{10330431010400} is an apocalyptic number.

10330431010400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10330431010400 is an abundant number, since it is smaller than the sum of its proper divisors (15055748326384).

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

10330431010400 is a wasteful number, since it uses less digits than its factorization.

10330431010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85516984 (or 85516971 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 10330431010400 its reverse (401013403301), we get a palindrome (10731444413701).

The spelling of 10330431010400 in words is "ten trillion, three hundred thirty billion, four hundred thirty-one million, ten thousand, four hundred".