4056980256 has 288 divisors, whose sum is σ = 13874410368. Its totient is φ = 1142138880.

The previous prime is 4056980219. The next prime is 4056980303. The reversal of 4056980256 is 6520896504.

4056980256 is a `hidden beast` number, since 4 + 0 + 569 + 80 + 2 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3973026 + ... + 3974046.

It is an arithmetic number, because the mean of its divisors is an integer number (48175036).

Almost surely, 2^4056980256 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 4056980256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6937205184).

4056980256 is an abundant number, since it is smaller than the sum of its proper divisors (9817430112).

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

4056980256 is a wasteful number, since it uses less digits than its factorization.

4056980256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126 (or 1106 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 4056980256 is about 63694.4287673577. The cubic root of 4056980256 is about 1594.9030848174.

The spelling of 4056980256 in words is "four billion, fifty-six million, nine hundred eighty thousand, two hundred fifty-six".