444430346120 has 64 divisors (see below), whose sum is σ = 1004810019840. Its totient is φ = 176912409600.

The previous prime is 444430345999. The next prime is 444430346123. The reversal of 444430346120 is 21643034444.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (444430346123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14666585 + ... + 14696855.

It is an arithmetic number, because the mean of its divisors is an integer number (15700156560).

Almost surely, 2^444430346120 is an apocalyptic number.

444430346120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444430346120 is an abundant number, since it is smaller than the sum of its proper divisors (560379673720).

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

444430346120 is a wasteful number, since it uses less digits than its factorization.

444430346120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32046 (or 32042 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 35.

The spelling of 444430346120 in words is "four hundred forty-four billion, four hundred thirty million, three hundred forty-six thousand, one hundred twenty".