444333121120 has 96 divisors (see below), whose sum is σ = 1224183240000. Its totient is φ = 152342765568.

The previous prime is 444333121049. The next prime is 444333121151. The reversal of 444333121120 is 21121333444.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3993345 + ... + 4103104.

It is an arithmetic number, because the mean of its divisors is an integer number (12751908750).

Almost surely, 2^444333121120 is an apocalyptic number.

444333121120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444333121120 is an abundant number, since it is smaller than the sum of its proper divisors (779850118880).

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

444333121120 is an equidigital number, since it uses as much as digits as its factorization.

444333121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8096485 (or 8096463 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 444333121120 its reverse (21121333444), we get a palindrome (465454454564).

The spelling of 444333121120 in words is "four hundred forty-four billion, three hundred thirty-three million, one hundred twenty-one thousand, one hundred twenty".