144442220320000 has 360 divisors, whose sum is σ = 361713643907616. Its totient is φ = 57548295168000.

The previous prime is 144442220319997. The next prime is 144442220320001. The reversal of 144442220320000 is 23022244441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144442220320001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 48748638519 + ... + 48748641481.

Almost surely, 2^{144442220320000} is an apocalyptic number.

144442220320000 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 144442220320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180856821953808).

144442220320000 is an abundant number, since it is smaller than the sum of its proper divisors (217271423587616).

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

144442220320000 is an frugal number, since it uses more digits than its factorization.

144442220320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4103 (or 4074 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 144442220320000 its reverse (23022244441), we get a palindrome (144465242564441).

The spelling of 144442220320000 in words is "one hundred forty-four trillion, four hundred forty-two billion, two hundred twenty million, three hundred twenty thousand".