104440440960 has 320 divisors, whose sum is σ = 373748589720. Its totient is φ = 27793096704.

The previous prime is 104440440941. The next prime is 104440441013. The reversal of 104440440960 is 69044044401.

It can be written as a sum of positive squares in 4 ways, for example, as 24659049024 + 79781391936 = 157032^2 + 282456^2 .

It is a tau number, because it is divible by the number of its divisors (320).

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 (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 28873072 + ... + 28876688.

Almost surely, 2^104440440960 is an apocalyptic number.

104440440960 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 104440440960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186874294860).

104440440960 is an abundant number, since it is smaller than the sum of its proper divisors (269308148760).

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

104440440960 is an equidigital number, since it uses as much as digits as its factorization.

104440440960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4205 (or 4184 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 104440440960 in words is "one hundred four billion, four hundred forty million, four hundred forty thousand, nine hundred sixty".