4120856912328 has 768 divisors, whose sum is σ = 12876894259200. Its totient is φ = 1090779955200.

The previous prime is 4120856912327. The next prime is 4120856912329. The reversal of 4120856912328 is 8232196580214.

It is an interprime number because it is at equal distance from previous prime (4120856912327) and next prime (4120856912329).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (4120856912327) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7319461375 + ... + 7319461937.

It is an arithmetic number, because the mean of its divisors is an integer number (16766789400).

Almost surely, 2^{4120856912328} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4120856912328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6438447129600).

4120856912328 is an abundant number, since it is smaller than the sum of its proper divisors (8756037346872).

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

4120856912328 is a wasteful number, since it uses less digits than its factorization.

4120856912328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The spelling of 4120856912328 in words is "four trillion, one hundred twenty billion, eight hundred fifty-six million, nine hundred twelve thousand, three hundred twenty-eight".