4441442304 has 192 divisors, whose sum is σ = 13506030720. Its totient is φ = 1285816320.

The previous prime is 4441442279. The next prime is 4441442309. The reversal of 4441442304 is 4032441444.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (4441442309) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1356189 + ... + 1359459.

It is an arithmetic number, because the mean of its divisors is an integer number (70343910).

Almost surely, 2^4441442304 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 4441442304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6753015360).

4441442304 is an abundant number, since it is smaller than the sum of its proper divisors (9064588416).

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

4441442304 is a wasteful number, since it uses less digits than its factorization.

4441442304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3326 (or 3306 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

The square root of 4441442304 is about 66644.1468097537. The cubic root of 4441442304 is about 1643.7711037516.

Adding to 4441442304 its reverse (4032441444), we get a palindrome (8473883748).

The spelling of 4441442304 in words is "four billion, four hundred forty-one million, four hundred forty-two thousand, three hundred four".