10442232400 has 60 divisors (see below), whose sum is σ = 25098429312. Its totient is φ = 4175067520.

The previous prime is 10442232349. The next prime is 10442232413. The reversal of 10442232400 is 423224401.

It is a happy number.

10442232400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 1262679 + ... + 1270921.

Almost surely, 2^10442232400 is an apocalyptic number.

10442232400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10442232400 is an abundant number, since it is smaller than the sum of its proper divisors (14656196912).

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

10442232400 is a wasteful number, since it uses less digits than its factorization.

10442232400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11428 (or 11417 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 10442232400 its reverse (423224401), we get a palindrome (10865456801).

The spelling of 10442232400 in words is "ten billion, four hundred forty-two million, two hundred thirty-two thousand, four hundred".