104419413556560 has 640 divisors, whose sum is σ = 381908127744000. Its totient is φ = 26149753387008.

The previous prime is 104419413556501. The next prime is 104419413556589. The reversal of 104419413556560 is 65655314914401.

104419413556560 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 1 + 9 + 4 + 13 + 5 + 565 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 104419413556497 and 104419413556506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2602203217 + ... + 2602243343.

It is an arithmetic number, because the mean of its divisors is an integer number (596731449600).

Almost surely, 2^{104419413556560} is an apocalyptic number.

104419413556560 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 104419413556560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190954063872000).

104419413556560 is an abundant number, since it is smaller than the sum of its proper divisors (277488714187440).

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

104419413556560 is a wasteful number, since it uses less digits than its factorization.

104419413556560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40720 (or 40708 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 104419413556560 in words is "one hundred four trillion, four hundred nineteen billion, four hundred thirteen million, five hundred fifty-six thousand, five hundred sixty".