444501200000 has 768 divisors, whose sum is σ = 1372130928000. Its totient is φ = 141004800000.

The previous prime is 444501199999. The next prime is 444501200029. The reversal of 444501200000 is 2105444.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1086799796 + ... + 1086800204.

Almost surely, 2^444501200000 is an apocalyptic number.

444501200000 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 444501200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686065464000).

444501200000 is an abundant number, since it is smaller than the sum of its proper divisors (927629728000).

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

444501200000 is a wasteful number, since it uses less digits than its factorization.

444501200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 444501200000 its reverse (2105444), we get a palindrome (444503305444).

The spelling of 444501200000 in words is "four hundred forty-four billion, five hundred one million, two hundred thousand".