104440993056 has 240 divisors, whose sum is σ = 312584469120. Its totient is φ = 34203755520.

The previous prime is 104440992911. The next prime is 104440993061. The reversal of 104440993056 is 650399044401.

104440993056 is a `hidden beast` number, since 104 + 4 + 409 + 93 + 0 + 56 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 38523541 + ... + 38526251.

It is an arithmetic number, because the mean of its divisors is an integer number (1302435288).

Almost surely, 2^104440993056 is an apocalyptic number.

104440993056 is a gapful number since it is divisible by the number (16) 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 104440993056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156292234560).

104440993056 is an abundant number, since it is smaller than the sum of its proper divisors (208143476064).

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

104440993056 is a wasteful number, since it uses less digits than its factorization.

104440993056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2989 (or 2972 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 104440993056 in words is "one hundred four billion, four hundred forty million, nine hundred ninety-three thousand, fifty-six".