104208330240000 has 3120 divisors, whose sum is σ = 467523680532480. Its totient is φ = 21817589760000.

The previous prime is 104208330239987. The next prime is 104208330240013. The reversal of 104208330240000 is 42033802401.

104208330240000 is a `hidden beast` number, since 104 + 208 + 330 + 24 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (104208330239987) and next prime (104208330240013).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 94993919452 + ... + 94993920548.

It is an arithmetic number, because the mean of its divisors is an integer number (149847333504).

Almost surely, 2^{104208330240000} is an apocalyptic number.

104208330240000 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 104208330240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233761840266240).

104208330240000 is an abundant number, since it is smaller than the sum of its proper divisors (363315350292480).

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

104208330240000 is a wasteful number, since it uses less digits than its factorization.

104208330240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1204 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 104208330240000 in words is "one hundred four trillion, two hundred eight billion, three hundred thirty million, two hundred forty thousand".