104009415128640 has 5376 divisors, whose sum is σ = 484506599915520. Its totient is φ = 20694541271040.

The previous prime is 104009415128627. The next prime is 104009415128659. The reversal of 104009415128640 is 46821514900401.

104009415128640 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 0 + 94 + 1 + 512 + 8 + 6 + 40 = 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 1009800146829 + ... + 1009800146931.

It is an arithmetic number, because the mean of its divisors is an integer number (90123995520).

Almost surely, 2^{104009415128640} is an apocalyptic number.

104009415128640 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 104009415128640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242253299957760).

104009415128640 is an abundant number, since it is smaller than the sum of its proper divisors (380497184786880).

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

104009415128640 is a wasteful number, since it uses less digits than its factorization.

104009415128640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 104009415128640 in words is "one hundred four trillion, nine billion, four hundred fifteen million, one hundred twenty-eight thousand, six hundred forty".