4108713984000 has 1176 divisors, whose sum is σ = 15733564999152. Its totient is φ = 1070176665600.

The previous prime is 4108713983981. The next prime is 4108713984013. The reversal of 4108713984000 is 4893178014.

It is a happy number.

4108713984000 is a `hidden beast` number, since 4 + 108 + 7 + 139 + 8 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 95551487979 + ... + 95551488021.

It is an arithmetic number, because the mean of its divisors is an integer number (13378881802).

Almost surely, 2^{4108713984000} is an apocalyptic number.

4108713984000 is a gapful number since it is divisible by the number (40) 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 4108713984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7866782499576).

4108713984000 is an abundant number, since it is smaller than the sum of its proper divisors (11624851015152).

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

4108713984000 is an frugal number, since it uses more digits than its factorization.

4108713984000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 4108713984000 in words is "four trillion, one hundred eight billion, seven hundred thirteen million, nine hundred eighty-four thousand".