104417791144128 has 756 divisors, whose sum is σ = 400852566164232. Its totient is φ = 25694029025280.

The previous prime is 104417791144103. The next prime is 104417791144159. The reversal of 104417791144128 is 821441197714401.

104417791144128 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 177 + 9 + 1 + 1 + 441 + 28 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 111611676 + ... + 112543332.

It is an arithmetic number, because the mean of its divisors is an integer number (530228262122).

Almost surely, 2^{104417791144128} is an apocalyptic number.

104417791144128 is a gapful number since it is divisible by the number (18) 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 104417791144128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200426283082116).

104417791144128 is an abundant number, since it is smaller than the sum of its proper divisors (296434775020104).

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

104417791144128 is a wasteful number, since it uses less digits than its factorization.

104417791144128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931738 (or 931699 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 104417791144128 in words is "one hundred four trillion, four hundred seventeen billion, seven hundred ninety-one million, one hundred forty-four thousand, one hundred twenty-eight".