4440289824 has 144 divisors (see below), whose sum is σ = 12908593152. Its totient is φ = 1447455744.

The previous prime is 4440289813. The next prime is 4440289829. The reversal of 4440289824 is 4289820444.

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

It is a super-2 number, since 2×4440289824² = 39432347442235901952, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4440289824.

It is not an unprimeable number, because it can be changed into a prime (4440289829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2669217 + ... + 2670879.

It is an arithmetic number, because the mean of its divisors is an integer number (89643008).

Almost surely, 2^4440289824 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 4440289824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6454296576).

4440289824 is an abundant number, since it is smaller than the sum of its proper divisors (8468303328).

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

4440289824 is a wasteful number, since it uses less digits than its factorization.

4440289824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1879 (or 1868 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The square root of 4440289824 is about 66635.4997279978. The cubic root of 4440289824 is about 1643.6289144152.

The spelling of 4440289824 in words is "four billion, four hundred forty million, two hundred eighty-nine thousand, eight hundred twenty-four".