4442720256 has 144 divisors (see below), whose sum is σ = 13819167180. Its totient is φ = 1366917120.

The previous prime is 4442720179. The next prime is 4442720257. The reversal of 4442720256 is 6520272444.

4442720256 is a `hidden beast` number, since 4 + 442 + 7 + 202 + 5 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4248953856 + 193766400 = 65184^2 + 13920^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 4442720256.

It is not an unprimeable number, because it can be changed into a prime (4442720257) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 230346 + ... + 248886.

Almost surely, 2^4442720256 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 4442720256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6909583590).

4442720256 is an abundant number, since it is smaller than the sum of its proper divisors (9376446924).

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

4442720256 is a wasteful number, since it uses less digits than its factorization.

4442720256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18582 (or 18559 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The square root of 4442720256 is about 66653.7339989291. The cubic root of 4442720256 is about 1643.9287446695.

The spelling of 4442720256 in words is "four billion, four hundred forty-two million, seven hundred twenty thousand, two hundred fifty-six".