144441224102320 has 160 divisors (see below), whose sum is σ = 355995718565760. Its totient is φ = 54392538562560.

The previous prime is 144441224102309. The next prime is 144441224102327. The reversal of 144441224102320 is 23201422144441.

It is not an unprimeable number, because it can be changed into a prime (144441224102327) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 30069286 + ... + 34540474.

It is an arithmetic number, because the mean of its divisors is an integer number (2224973241036).

Almost surely, 2^{144441224102320} is an apocalyptic number.

144441224102320 is a gapful number since it is divisible by the number (10) 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 144441224102320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177997859282880).

144441224102320 is an abundant number, since it is smaller than the sum of its proper divisors (211554494463440).

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

144441224102320 is a wasteful number, since it uses less digits than its factorization.

144441224102320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4471503 (or 4471497 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 34.

Adding to 144441224102320 its reverse (23201422144441), we get a palindrome (167642646246761).

The spelling of 144441224102320 in words is "one hundred forty-four trillion, four hundred forty-one billion, two hundred twenty-four million, one hundred two thousand, three hundred twenty".