104126942494080 has 768 divisors, whose sum is σ = 398841488136000. Its totient is φ = 24819100876800.

The previous prime is 104126942494063. The next prime is 104126942494097. The reversal of 104126942494080 is 80494249621401.

104126942494080 is a `hidden beast` number, since 1 + 0 + 4 + 12 + 69 + 4 + 2 + 494 + 0 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (104126942494063) and next prime (104126942494097).

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, 14984446446 + ... + 14984453394.

Almost surely, 2^{104126942494080} is an apocalyptic number.

104126942494080 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 104126942494080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199420744068000).

104126942494080 is an abundant number, since it is smaller than the sum of its proper divisors (294714545641920).

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

104126942494080 is a wasteful number, since it uses less digits than its factorization.

104126942494080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10923 (or 10908 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 104126942494080 in words is "one hundred four trillion, one hundred twenty-six billion, nine hundred forty-two million, four hundred ninety-four thousand, eighty".