144322401300000 has 1152 divisors, whose sum is σ = 591630413230080. Its totient is φ = 29925158400000.

The previous prime is 144322401299953. The next prime is 144322401300019. The reversal of 144322401300000 is 3104223441.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11249693586 + ... + 11249706414.

It is an arithmetic number, because the mean of its divisors is an integer number (513568067040).

Almost surely, 2^{144322401300000} is an apocalyptic number.

144322401300000 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 144322401300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295815206615040).

144322401300000 is an abundant number, since it is smaller than the sum of its proper divisors (447308011930080).

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

144322401300000 is a wasteful number, since it uses less digits than its factorization.

144322401300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13372 (or 13344 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 144322401300000 its reverse (3104223441), we get a palindrome (144325505523441).

The spelling of 144322401300000 in words is "one hundred forty-four trillion, three hundred twenty-two billion, four hundred one million, three hundred thousand".