444341300000 has 288 divisors, whose sum is σ = 1186489684800. Its totient is φ = 162817920000.

The previous prime is 444341299901. The next prime is 444341300023. The reversal of 444341300000 is 3143444.

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 47 ways as a sum of consecutive naturals, for example, 180698771 + ... + 180701229.

It is an arithmetic number, because the mean of its divisors is an integer number (4119755850).

Almost surely, 2^444341300000 is an apocalyptic number.

444341300000 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 444341300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593244842400).

444341300000 is an abundant number, since it is smaller than the sum of its proper divisors (742148384800).

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

444341300000 is a wasteful number, since it uses less digits than its factorization.

444341300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2646 (or 2618 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 444341300000 its reverse (3143444), we get a palindrome (444344443444).

The spelling of 444341300000 in words is "four hundred forty-four billion, three hundred forty-one million, three hundred thousand".