444423014112 has 576 divisors, whose sum is σ = 1551212716032. Its totient is φ = 108827980800.

The previous prime is 444423014071. The next prime is 444423014137. The reversal of 444423014112 is 211410324444.

It is a happy number.

It is a super-3 number, since 3×444423014112³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 444423014112.

It is a congruent number.

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, 132780823 + ... + 132784169.

It is an arithmetic number, because the mean of its divisors is an integer number (2693077632).

Almost surely, 2^444423014112 is an apocalyptic number.

444423014112 is a gapful number since it is divisible by the number (42) 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 444423014112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775606358016).

444423014112 is an abundant number, since it is smaller than the sum of its proper divisors (1106789701920).

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

444423014112 is a wasteful number, since it uses less digits than its factorization.

444423014112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3483 (or 3464 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 444423014112 its reverse (211410324444), we get a palindrome (655833338556).

The spelling of 444423014112 in words is "four hundred forty-four billion, four hundred twenty-three million, fourteen thousand, one hundred twelve".