104024494080000 has 2560 divisors, whose sum is σ = 429935814000000. Its totient is φ = 24673517568000.

The previous prime is 104024494079981. The next prime is 104024494080061. The reversal of 104024494080000 is 80494420401.

104024494080000 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 244 + 9 + 408 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a super-3 number, since 3×104024494080000³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 208465919751 + ... + 208465920249.

Almost surely, 2^{104024494080000} is an apocalyptic number.

104024494080000 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 104024494080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214967907000000).

104024494080000 is an abundant number, since it is smaller than the sum of its proper divisors (325911319920000).

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

104024494080000 is an frugal number, since it uses more digits than its factorization.

104024494080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 104024494080000 in words is "one hundred four trillion, twenty-four billion, four hundred ninety-four million, eighty thousand".