104130973440 has 576 divisors, whose sum is σ = 407723057280. Its totient is φ = 25002639360.

The previous prime is 104130973433. The next prime is 104130973483. The reversal of 104130973440 is 44379031401.

104130973440 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 309 + 7 + 344 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 104130973395 and 104130973404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18417654 + ... + 18423306.

It is an arithmetic number, because the mean of its divisors is an integer number (707852530).

Almost surely, 2^104130973440 is an apocalyptic number.

104130973440 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 104130973440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203861528640).

104130973440 is an abundant number, since it is smaller than the sum of its proper divisors (303592083840).

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

104130973440 is a wasteful number, since it uses less digits than its factorization.

104130973440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5737 (or 5717 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 104130973440 in words is "one hundred four billion, one hundred thirty million, nine hundred seventy-three thousand, four hundred forty".