444442320120 has 128 divisors (see below), whose sum is σ = 1356420038400. Its totient is φ = 116466702336.

The previous prime is 444442320097. The next prime is 444442320137. The reversal of 444442320120 is 21023244444.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22554112 + ... + 22573808.

It is an arithmetic number, because the mean of its divisors is an integer number (10597031550).

Almost surely, 2^444442320120 is an apocalyptic number.

444442320120 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 444442320120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678210019200).

444442320120 is an abundant number, since it is smaller than the sum of its proper divisors (911977718280).

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

444442320120 is a wasteful number, since it uses less digits than its factorization.

444442320120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22957 (or 22953 counting only the distinct ones).

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

Adding to 444442320120 its reverse (21023244444), we get a palindrome (465465564564).

The spelling of 444442320120 in words is "four hundred forty-four billion, four hundred forty-two million, three hundred twenty thousand, one hundred twenty".