3928423443120 has 640 divisors, whose sum is σ = 15061101742080. Its totient is φ = 933057515520.

The previous prime is 3928423443097. The next prime is 3928423443181. The reversal of 3928423443120 is 213443248293.

3928423443120 is a `hidden beast` number, since 3 + 9 + 2 + 84 + 2 + 3 + 443 + 120 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1116979602 + ... + 1116983118.

It is an arithmetic number, because the mean of its divisors is an integer number (23532971472).

Almost surely, 2^{3928423443120} is an apocalyptic number.

3928423443120 is a gapful number since it is divisible by the number (30) 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 3928423443120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7530550871040).

3928423443120 is an abundant number, since it is smaller than the sum of its proper divisors (11132678298960).

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

3928423443120 is a wasteful number, since it uses less digits than its factorization.

3928423443120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4490 (or 4478 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 3928423443120 in words is "three trillion, nine hundred twenty-eight billion, four hundred twenty-three million, four hundred forty-three thousand, one hundred twenty".