10444123872 has 144 divisors (see below), whose sum is σ = 36554525280. Its totient is φ = 2754487296.

The previous prime is 10444123861. The next prime is 10444123909. The reversal of 10444123872 is 27832144401.

10444123872 is a `hidden beast` number, since 10 + 444 + 123 + 87 + 2 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173047 + ... + 225462.

It is an arithmetic number, because the mean of its divisors is an integer number (253850870).

Almost surely, 2^10444123872 is an apocalyptic number.

10444123872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10444123872 is an abundant number, since it is smaller than the sum of its proper divisors (26110401408).

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

10444123872 is a wasteful number, since it uses less digits than its factorization.

10444123872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398545 (or 398534 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 10444123872 in words is "ten billion, four hundred forty-four million, one hundred twenty-three thousand, eight hundred seventy-two".