444221040320 has 56 divisors (see below), whose sum is σ = 1083601417248. Its totient is φ = 173354547200.

The previous prime is 444221040311. The next prime is 444221040353. The reversal of 444221040320 is 23040122444.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 444221040320.

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 7 ways as a sum of consecutive naturals, for example, 16916036 + ... + 16942275.

It is an arithmetic number, because the mean of its divisors is an integer number (19350025308).

Almost surely, 2^444221040320 is an apocalyptic number.

444221040320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444221040320 is an abundant number, since it is smaller than the sum of its proper divisors (639380376928).

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

444221040320 is a wasteful number, since it uses less digits than its factorization.

444221040320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33858369 (or 33858359 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 444221040320 its reverse (23040122444), we get a palindrome (467261162764).

The spelling of 444221040320 in words is "four hundred forty-four billion, two hundred twenty-one million, forty thousand, three hundred twenty".