444445012000000 has 252 divisors, whose sum is σ = 1209739967630208. Its totient is φ = 161616352000000.

The previous prime is 444445011999991. The next prime is 444445012000013. The reversal of 444445012000000 is 210544444.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 38949489 + ... + 49050511.

It is an arithmetic number, because the mean of its divisors is an integer number (4800555427104).

Almost surely, 2^{444445012000000} is an apocalyptic number.

444445012000000 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 444445012000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604869983815104).

444445012000000 is an abundant number, since it is smaller than the sum of its proper divisors (765294955630208).

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

444445012000000 is an frugal number, since it uses more digits than its factorization.

444445012000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10101080 (or 10101041 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 28.

Adding to 444445012000000 its reverse (210544444), we get a palindrome (444445222544444).

The spelling of 444445012000000 in words is "four hundred forty-four trillion, four hundred forty-five billion, twelve million", and thus it is an aban number.