444144332000000 has 126 divisors (see below), whose sum is σ = 1108177981624644. Its totient is φ = 177657731200000.

The previous prime is 444144331999993. The next prime is 444144332000029. The reversal of 444144332000000 is 233441444.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 51518042 + ... + 59518041.

Almost surely, 2^{444144332000000} is an apocalyptic number.

444144332000000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444144332000000 is an abundant number, since it is smaller than the sum of its proper divisors (664033649624644).

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

444144332000000 is an frugal number, since it uses more digits than its factorization.

444144332000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111036129 (or 111036090 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 444144332000000 its reverse (233441444), we get a palindrome (444144565441444).

The spelling of 444144332000000 in words is "four hundred forty-four trillion, one hundred forty-four billion, three hundred thirty-two million", and thus it is an aban number.