444144441240 has 512 divisors, whose sum is σ = 1649756160000. Its totient is φ = 105848709120.

The previous prime is 444144441203. The next prime is 444144441259. The reversal of 444144441240 is 42144441444.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 444144441195 and 444144441204.

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 127 ways as a sum of consecutive naturals, for example, 22321216 + ... + 22341104.

It is an arithmetic number, because the mean of its divisors is an integer number (3222180000).

Almost surely, 2^444144441240 is an apocalyptic number.

444144441240 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 444144441240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824878080000).

444144441240 is an abundant number, since it is smaller than the sum of its proper divisors (1205611718760).

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

444144441240 is a wasteful number, since it uses less digits than its factorization.

444144441240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19992 (or 19982 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 36.

Adding to 444144441240 its reverse (42144441444), we get a palindrome (486288882684).

The spelling of 444144441240 in words is "four hundred forty-four billion, one hundred forty-four million, four hundred forty-one thousand, two hundred forty".