10830408732400 has 60 divisors (see below), whose sum is σ = 26263235185992. Its totient is φ = 4291675966720.

The previous prime is 10830408732391. The next prime is 10830408732413. The reversal of 10830408732400 is 423780403801.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 126480667 + ... + 126566266.

Almost surely, 2^{10830408732400} is an apocalyptic number.

10830408732400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10830408732400 is an abundant number, since it is smaller than the sum of its proper divisors (15432826453592).

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

10830408732400 is a wasteful number, since it uses less digits than its factorization.

10830408732400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253047058 (or 253047047 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The spelling of 10830408732400 in words is "ten trillion, eight hundred thirty billion, four hundred eight million, seven hundred thirty-two thousand, four hundred".