4120322976 has 648 divisors, whose sum is σ = 15894627840. Its totient is φ = 1005903360.

The previous prime is 4120322939. The next prime is 4120322989. The reversal of 4120322976 is 6792230214.

4120322976 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4120322976² = 33954122853106993152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4120322976.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 32443425 + ... + 32443551.

Almost surely, 2^4120322976 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 4120322976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7947313920).

4120322976 is an abundant number, since it is smaller than the sum of its proper divisors (11774304864).

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

4120322976 is a wasteful number, since it uses less digits than its factorization.

4120322976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 4120322976 is about 64189.7419842143. The cubic root of 4120322976 is about 1603.1608058713.

The spelling of 4120322976 in words is "four billion, one hundred twenty million, three hundred twenty-two thousand, nine hundred seventy-six".