444023221304 has 64 divisors (see below), whose sum is σ = 935995737600. Its totient is φ = 195933868416.

The previous prime is 444023221267. The next prime is 444023221339. The reversal of 444023221304 is 403122320444.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5323877 + ... + 5406635.

It is an arithmetic number, because the mean of its divisors is an integer number (14624933400).

Almost surely, 2^444023221304 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 444023221304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467997868800).

444023221304 is an abundant number, since it is smaller than the sum of its proper divisors (491972516296).

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

444023221304 is a wasteful number, since it uses less digits than its factorization.

444023221304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85044 (or 85040 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 444023221304 its reverse (403122320444), we get a palindrome (847145541748).

The spelling of 444023221304 in words is "four hundred forty-four billion, twenty-three million, two hundred twenty-one thousand, three hundred four".