144441222400000 has 288 divisors, whose sum is σ = 379991678976000. Its totient is φ = 54735575040000.

The previous prime is 144441222399979. The next prime is 144441222400073. The reversal of 144441222400000 is 4222144441.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121006081 + ... + 122193919.

It is an arithmetic number, because the mean of its divisors is an integer number (1319415552000).

Almost surely, 2^{144441222400000} is an apocalyptic number.

144441222400000 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 144441222400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189995839488000).

144441222400000 is an abundant number, since it is smaller than the sum of its proper divisors (235550456576000).

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

144441222400000 is an frugal number, since it uses more digits than its factorization.

144441222400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187905 (or 1187865 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 144441222400000 its reverse (4222144441), we get a palindrome (144445444544441).

The spelling of 144441222400000 in words is "one hundred forty-four trillion, four hundred forty-one billion, two hundred twenty-two million, four hundred thousand".