444844040000 has 140 divisors (see below), whose sum is σ = 1103809670964. Its totient is φ = 177818112000.

The previous prime is 444844039999. The next prime is 444844040027. The reversal of 444844040000 is 40448444.

It can be written as a sum of positive squares in 10 ways, for example, as 415086409984 + 29757630016 = 644272^2 + 172504^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

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 19 ways as a sum of consecutive naturals, for example, 82117292 + ... + 82122708.

Almost surely, 2^444844040000 is an apocalyptic number.

444844040000 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 444844040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551904835482).

444844040000 is an abundant number, since it is smaller than the sum of its proper divisors (658965630964).

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

444844040000 is an equidigital number, since it uses as much as digits as its factorization.

444844040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7502 (or 7477 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 32.

Adding to 444844040000 its reverse (40448444), we get a palindrome (444884488444).

The spelling of 444844040000 in words is "four hundred forty-four billion, eight hundred forty-four million, forty thousand".