444342124000 has 288 divisors, whose sum is σ = 1177261604064. Its totient is φ = 164756275200.

The previous prime is 444342123961. The next prime is 444342124043. The reversal of 444342124000 is 421243444.

It is a self number, because there is not a number n which added to its sum of digits gives 444342124000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77449132 + ... + 77454868.

It is an arithmetic number, because the mean of its divisors is an integer number (4087713903).

Almost surely, 2^444342124000 is an apocalyptic number.

444342124000 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 444342124000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588630802032).

444342124000 is an abundant number, since it is smaller than the sum of its proper divisors (732919480064).

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

444342124000 is a wasteful number, since it uses less digits than its factorization.

444342124000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5863 (or 5828 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 444342124000 its reverse (421243444), we get a palindrome (444763367444).

The spelling of 444342124000 in words is "four hundred forty-four billion, three hundred forty-two million, one hundred twenty-four thousand".