10444241808 has 540 divisors, whose sum is σ = 40291225884. Its totient is φ = 2501452800.

The previous prime is 10444241791. The next prime is 10444241827. The reversal of 10444241808 is 80814244401.

10444241808 is a `hidden beast` number, since 10 + 44 + 424 + 180 + 8 = 666.

10444241808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3832600464 + 6611641344 = 61908^2 + 81312^2 .

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

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 107 ways as a sum of consecutive naturals, for example, 11098618 + ... + 11099558.

Almost surely, 2^10444241808 is an apocalyptic number.

10444241808 is a gapful number since it is divisible by the number (18) 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 10444241808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20145612942).

10444241808 is an abundant number, since it is smaller than the sum of its proper divisors (29846984076).

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

10444241808 is a wasteful number, since it uses less digits than its factorization.

10444241808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

It can be divided in two parts, 10444 and 241808, that added together give a palindrome (252252).

The spelling of 10444241808 in words is "ten billion, four hundred forty-four million, two hundred forty-one thousand, eight hundred eight".