104415797816640 has 336 divisors, whose sum is σ = 381139426736640. Its totient is φ = 26146617016320.

The previous prime is 104415797816599. The next prime is 104415797816689. The reversal of 104415797816640 is 46618797514401.

It is a happy number.

104415797816640 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 1 + 579 + 7 + 8 + 16 + 6 + 40 = 666.

104415797816640 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19064425 + ... + 23922455.

Almost surely, 2^{104415797816640} is an apocalyptic number.

104415797816640 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 104415797816640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190569713368320).

104415797816640 is an abundant number, since it is smaller than the sum of its proper divisors (276723628920000).

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

104415797816640 is a wasteful number, since it uses less digits than its factorization.

104415797816640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4858510 (or 4858497 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 104415797816640 in words is "one hundred four trillion, four hundred fifteen billion, seven hundred ninety-seven million, eight hundred sixteen thousand, six hundred forty".