10205462432 has 24 divisors (see below), whose sum is σ = 21918550752. Its totient is φ = 4638846400.

The previous prime is 10205462417. The next prime is 10205462467. The reversal of 10205462432 is 23426450201.

It is a junction number, because it is equal to n+sod(n) for n = 10205462395 and 10205462404.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14496044 + ... + 14496747.

It is an arithmetic number, because the mean of its divisors is an integer number (913272948).

Almost surely, 2^10205462432 is an apocalyptic number.

It is an amenable number.

10205462432 is an abundant number, since it is smaller than the sum of its proper divisors (11713088320).

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

10205462432 is a wasteful number, since it uses less digits than its factorization.

10205462432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28992812 (or 28992804 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The spelling of 10205462432 in words is "ten billion, two hundred five million, four hundred sixty-two thousand, four hundred thirty-two".