104064791040 has 640 divisors, whose sum is σ = 433945797120. Its totient is φ = 23139385344.

The previous prime is 104064791021. The next prime is 104064791069. The reversal of 104064791040 is 40197460401.

104064791040 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 647 + 9 + 1 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 = 104064790986 and 104064791004.

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, 17899174 + ... + 17904986.

It is an arithmetic number, because the mean of its divisors is an integer number (678040308).

Almost surely, 2^104064791040 is an apocalyptic number.

104064791040 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 104064791040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216972898560).

104064791040 is an abundant number, since it is smaller than the sum of its proper divisors (329881006080).

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

104064791040 is an equidigital number, since it uses as much as digits as its factorization.

104064791040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5889 (or 5867 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 104064791040 in words is "one hundred four billion, sixty-four million, seven hundred ninety-one thousand, forty".