444224010000 has 200 divisors, whose sum is σ = 1435996633984. Its totient is φ = 118296000000.

The previous prime is 444224009953. The next prime is 444224010029. The reversal of 444224010000 is 10422444.

It is a tau number, because it is divible by the number of its divisors (200).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22520142 + ... + 22539858.

Almost surely, 2^444224010000 is an apocalyptic number.

444224010000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444224010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717998316992).

444224010000 is an abundant number, since it is smaller than the sum of its proper divisors (991772623984).

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

444224010000 is a wasteful number, since it uses less digits than its factorization.

444224010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20499 (or 20478 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 444224010000 its reverse (10422444), we get a palindrome (444234432444).

The spelling of 444224010000 in words is "four hundred forty-four billion, two hundred twenty-four million, ten thousand".