104026785408 has 768 divisors, whose sum is σ = 389939961600. Its totient is φ = 26577248256.

The previous prime is 104026785397. The next prime is 104026785413. The reversal of 104026785408 is 804587620401.

104026785408 is a `hidden beast` number, since 1 + 0 + 40 + 2 + 67 + 8 + 540 + 8 = 666.

It is a congruent number.

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, 1316794713 + ... + 1316794791.

It is an arithmetic number, because the mean of its divisors is an integer number (507734325).

Almost surely, 2^104026785408 is an apocalyptic number.

104026785408 is a gapful number since it is divisible by the number (18) 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 104026785408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194969980800).

104026785408 is an abundant number, since it is smaller than the sum of its proper divisors (285913176192).

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

104026785408 is an equidigital number, since it uses as much as digits as its factorization.

104026785408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 104026785408 in words is "one hundred four billion, twenty-six million, seven hundred eighty-five thousand, four hundred eight".