104400385776 has 120 divisors (see below), whose sum is σ = 305159627760. Its totient is φ = 33285593088.

The previous prime is 104400385757. The next prime is 104400385801. The reversal of 104400385776 is 677583004401.

104400385776 is a `hidden beast` number, since 1 + 0 + 4 + 40 + 0 + 38 + 577 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148296 + ... + 480408.

It is an arithmetic number, because the mean of its divisors is an integer number (2542996898).

Almost surely, 2^104400385776 is an apocalyptic number.

104400385776 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 104400385776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152579813880).

104400385776 is an abundant number, since it is smaller than the sum of its proper divisors (200759241984).

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

104400385776 is a wasteful number, since it uses less digits than its factorization.

104400385776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332223 (or 332214 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 104400385776 in words is "one hundred four billion, four hundred million, three hundred eighty-five thousand, seven hundred seventy-six".