10442744928 has 144 divisors (see below), whose sum is σ = 37024356096. Its totient is φ = 2712395520.

The previous prime is 10442744927. The next prime is 10442744951. The reversal of 10442744928 is 82944724401.

10442744928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10442744927) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 213276 + ... + 257627.

It is an arithmetic number, because the mean of its divisors is an integer number (257113584).

Almost surely, 2^10442744928 is an apocalyptic number.

10442744928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10442744928 is an abundant number, since it is smaller than the sum of its proper divisors (26581611168).

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

10442744928 is a wasteful number, since it uses less digits than its factorization.

10442744928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470937 (or 470926 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 10442744928 in words is "ten billion, four hundred forty-two million, seven hundred forty-four thousand, nine hundred twenty-eight".