104042183616000 has 5120 divisors, whose sum is σ = 489764081664000. Its totient is φ = 21225170534400.

The previous prime is 104042183615969. The next prime is 104042183616013. The reversal of 104042183616000 is 616381240401.

104042183616000 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 4 + 2 + 18 + 36 + 1 + 600 + 0 = 666.

104042183616000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 435322943881 + ... + 435322944119.

It is an arithmetic number, because the mean of its divisors is an integer number (95657047200).

Almost surely, 2^{104042183616000} is an apocalyptic number.

104042183616000 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 104042183616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244882040832000).

104042183616000 is an abundant number, since it is smaller than the sum of its proper divisors (385721898048000).

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

104042183616000 is a wasteful number, since it uses less digits than its factorization.

104042183616000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 104042183616000 in words is "one hundred four trillion, forty-two billion, one hundred eighty-three million, six hundred sixteen thousand".