4120795660800 has 960 divisors, whose sum is σ = 16803404513280. Its totient is φ = 866890874880.

The previous prime is 4120795660783. The next prime is 4120795660819. The reversal of 4120795660800 is 80665970214.

4120795660800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4120795660800.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1338353661 + ... + 1338356739.

It is an arithmetic number, because the mean of its divisors is an integer number (17503546368).

Almost surely, 2^{4120795660800} is an apocalyptic number.

4120795660800 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 4120795660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8401702256640).

4120795660800 is an abundant number, since it is smaller than the sum of its proper divisors (12682608852480).

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

4120795660800 is a wasteful number, since it uses less digits than its factorization.

4120795660800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3513 (or 3492 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 4120795660800 in words is "four trillion, one hundred twenty billion, seven hundred ninety-five million, six hundred sixty thousand, eight hundred".