444422021120 has 896 divisors, whose sum is σ = 1420020771840. Its totient is φ = 129478164480.

The previous prime is 444422021027. The next prime is 444422021123. The reversal of 444422021120 is 21120224444.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (896).

It is a super-3 number, since 3×444422021120³ (a number of 36 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 444422021120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444422021123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3932938184 + ... + 3932938296.

Almost surely, 2^444422021120 is an apocalyptic number.

444422021120 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 444422021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710010385920).

444422021120 is an abundant number, since it is smaller than the sum of its proper divisors (975598750720).

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

444422021120 is a wasteful number, since it uses less digits than its factorization.

444422021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

Adding to 444422021120 its reverse (21120224444), we get a palindrome (465542245564).

The spelling of 444422021120 in words is "four hundred forty-four billion, four hundred twenty-two million, twenty-one thousand, one hundred twenty".