444421638304 has 288 divisors, whose sum is σ = 1085447865600. Its totient is φ = 175387410432.

The previous prime is 444421638293. The next prime is 444421638313. The reversal of 444421638304 is 403836124444.

It is a happy number.

It is a super-3 number, since 3×444421638304³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 741938997 + ... + 741939595.

It is an arithmetic number, because the mean of its divisors is an integer number (3768916200).

Almost surely, 2^444421638304 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 444421638304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542723932800).

444421638304 is an abundant number, since it is smaller than the sum of its proper divisors (641026227296).

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

444421638304 is a wasteful number, since it uses less digits than its factorization.

444421638304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 43.

The spelling of 444421638304 in words is "four hundred forty-four billion, four hundred twenty-one million, six hundred thirty-eight thousand, three hundred four".