104289726240 has 576 divisors, whose sum is σ = 436913568000. Its totient is φ = 22581006336.

The previous prime is 104289726239. The next prime is 104289726263. The reversal of 104289726240 is 42627982401.

104289726240 is a `hidden beast` number, since 10 + 4 + 2 + 8 + 9 + 7 + 2 + 624 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9378924 + ... + 9390036.

It is an arithmetic number, because the mean of its divisors is an integer number (758530500).

Almost surely, 2^104289726240 is an apocalyptic number.

104289726240 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 104289726240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218456784000).

104289726240 is an abundant number, since it is smaller than the sum of its proper divisors (332623841760).

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

104289726240 is a wasteful number, since it uses less digits than its factorization.

104289726240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11174 (or 11149 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 104289726240 in words is "one hundred four billion, two hundred eighty-nine million, seven hundred twenty-six thousand, two hundred forty".