104617510502440 has 128 divisors (see below), whose sum is σ = 254112965568000. Its totient is φ = 38534059404288.

The previous prime is 104617510502371. The next prime is 104617510502467. The reversal of 104617510502440 is 44205015716401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 104617510502393 and 104617510502402.

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, 1645182166 + ... + 1645245754.

It is an arithmetic number, because the mean of its divisors is an integer number (1985257543500).

Almost surely, 2^{104617510502440} is an apocalyptic number.

104617510502440 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 104617510502440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127056482784000).

104617510502440 is an abundant number, since it is smaller than the sum of its proper divisors (149495455065560).

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

104617510502440 is a wasteful number, since it uses less digits than its factorization.

104617510502440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71259 (or 71255 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 40.

The spelling of 104617510502440 in words is "one hundred four trillion, six hundred seventeen billion, five hundred ten million, five hundred two thousand, four hundred forty".