444242220312 has 128 divisors (see below), whose sum is σ = 1265687285760. Its totient is φ = 128619131520.

The previous prime is 444242220311. The next prime is 444242220319. The reversal of 444242220312 is 213022242444.

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 444242220312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444242220311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5344623 + ... + 5427105.

It is an arithmetic number, because the mean of its divisors is an integer number (9888181920).

Almost surely, 2^444242220312 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 444242220312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632843642880).

444242220312 is an abundant number, since it is smaller than the sum of its proper divisors (821445065448).

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

444242220312 is a wasteful number, since it uses less digits than its factorization.

444242220312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83413 (or 83409 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 444242220312 its reverse (213022242444), we get a palindrome (657264462756).

The spelling of 444242220312 in words is "four hundred forty-four billion, two hundred forty-two million, two hundred twenty thousand, three hundred twelve".