10441872144 has 90 divisors (see below), whose sum is σ = 32120915918. Its totient is φ = 3164198400.

The previous prime is 10441872137. The next prime is 10441872149. The reversal of 10441872144 is 44127814401.

10441872144 is a `hidden beast` number, since 1 + 0 + 441 + 8 + 72 + 144 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6085872144 + 4356000000 = 78012^2 + 66000^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 10441872099 and 10441872108.

It is not an unprimeable number, because it can be changed into a prime (10441872149) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 282217 + ... + 317064.

Almost surely, 2^10441872144 is an apocalyptic number.

It is an amenable number.

10441872144 is an abundant number, since it is smaller than the sum of its proper divisors (21679043774).

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

10441872144 is a wasteful number, since it uses less digits than its factorization.

10441872144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599317 (or 599297 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 10441872144 in words is "ten billion, four hundred forty-one million, eight hundred seventy-two thousand, one hundred forty-four".