10406642232 has 64 divisors (see below), whose sum is σ = 29760894720. Its totient is φ = 2970563328.

The previous prime is 10406642231. The next prime is 10406642249. The reversal of 10406642232 is 23224660401.

It is a self number, because there is not a number n which added to its sum of digits gives 10406642232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10406642231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156063 + ... + 212529.

It is an arithmetic number, because the mean of its divisors is an integer number (465013980).

Almost surely, 2^10406642232 is an apocalyptic number.

10406642232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10406642232 is an abundant number, since it is smaller than the sum of its proper divisors (19354252488).

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

10406642232 is a wasteful number, since it uses less digits than its factorization.

10406642232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57580 (or 57576 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The spelling of 10406642232 in words is "ten billion, four hundred six million, six hundred forty-two thousand, two hundred thirty-two".