10444538880 has 528 divisors, whose sum is σ = 39086236800. Its totient is φ = 2569273344.

The previous prime is 10444538873. The next prime is 10444538903. The reversal of 10444538880 is 8883544401.

10444538880 is a `hidden beast` number, since 1 + 0 + 44 + 453 + 88 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52485021 + ... + 52485219.

Almost surely, 2^10444538880 is an apocalyptic number.

10444538880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10444538880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19543118400).

10444538880 is an abundant number, since it is smaller than the sum of its proper divisors (28641697920).

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

10444538880 is a wasteful number, since it uses less digits than its factorization.

10444538880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 10444538880 in words is "ten billion, four hundred forty-four million, five hundred thirty-eight thousand, eight hundred eighty".