4440756321 has 27 divisors (see below), whose sum is σ = 6509661561. Its totient is φ = 2917188864.

The previous prime is 4440756277. The next prime is 4440756343. The reversal of 4440756321 is 1236570444.

The square root of 4440756321 is 66639.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 908118225 + 3532638096 = 30135^2 + 59436^2 .

It is not a de Polignac number, because 4440756321 - 2¹³ = 4440748129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4440756721) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 19391835 + ... + 19392063.

Almost surely, 2^4440756321 is an apocalyptic number.

4440756321 is the 66639-th square number.

4440756321 is the 33320-th centered octagonal number.

It is an amenable number.

4440756321 is a deficient number, since it is larger than the sum of its proper divisors (2068905240).

4440756321 is an frugal number, since it uses more digits than its factorization.

4440756321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The cubic root of 4440756321 is about 1643.6864723028.

Multiplying 4440756321 by its sum of digits (36), we get a square (159867227556 = 399834²).

It can be divided in two parts, 4440 and 756321, that added together give a triangular number (760761 = T₁₂₃₃).

The spelling of 4440756321 in words is "four billion, four hundred forty million, seven hundred fifty-six thousand, three hundred twenty-one".