104364446640 has 160 divisors (see below), whose sum is σ = 333706516416. Its totient is φ = 26961592320.

The previous prime is 104364446639. The next prime is 104364446779. The reversal of 104364446640 is 46644463401.

It is a super-3 number, since 3×104364446640³ (a number of 34 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 104364446592 and 104364446601.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2043820 + ... + 2094260.

Almost surely, 2^104364446640 is an apocalyptic number.

104364446640 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 104364446640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166853258208).

104364446640 is an abundant number, since it is smaller than the sum of its proper divisors (229342069776).

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

104364446640 is a wasteful number, since it uses less digits than its factorization.

104364446640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50727 (or 50721 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 42.

The spelling of 104364446640 in words is "one hundred four billion, three hundred sixty-four million, four hundred forty-six thousand, six hundred forty".