444533320000 has 560 divisors, whose sum is σ = 1388871918720. Its totient is φ = 137088000000.

The previous prime is 444533319913. The next prime is 444533320001. The reversal of 444533320000 is 23335444.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444533320001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 311079286 + ... + 311080714.

Almost surely, 2^444533320000 is an apocalyptic number.

444533320000 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 444533320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694435959360).

444533320000 is an abundant number, since it is smaller than the sum of its proper divisors (944338598720).

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

444533320000 is a wasteful number, since it uses less digits than its factorization.

444533320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1580 (or 1555 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 28.

Adding to 444533320000 its reverse (23335444), we get a palindrome (444556655444).

The spelling of 444533320000 in words is "four hundred forty-four billion, five hundred thirty-three million, three hundred twenty thousand".