444332223120 has 320 divisors, whose sum is σ = 1503892316160. Its totient is φ = 108109209600.

The previous prime is 444332223109. The next prime is 444332223197. The reversal of 444332223120 is 21322233444.

It is a super-2 number, since 2×444332223120² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29819512 + ... + 29834408.

It is an arithmetic number, because the mean of its divisors is an integer number (4699663488).

Almost surely, 2^444332223120 is an apocalyptic number.

444332223120 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 444332223120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751946158080).

444332223120 is an abundant number, since it is smaller than the sum of its proper divisors (1059560093040).

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

444332223120 is a wasteful number, since it uses less digits than its factorization.

444332223120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15174 (or 15168 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 444332223120 its reverse (21322233444), we get a palindrome (465654456564).

The spelling of 444332223120 in words is "four hundred forty-four billion, three hundred thirty-two million, two hundred twenty-three thousand, one hundred twenty".