144443011040200 has 384 divisors, whose sum is σ = 352162422662400. Its totient is φ = 55062798336000.

The previous prime is 144443011040189. The next prime is 144443011040327. The reversal of 144443011040200 is 2040110344441.

144443011040200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12758850540 + ... + 12758861860.

It is an arithmetic number, because the mean of its divisors is an integer number (917089642350).

Almost surely, 2^{144443011040200} is an apocalyptic number.

144443011040200 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 144443011040200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176081211331200).

144443011040200 is an abundant number, since it is smaller than the sum of its proper divisors (207719411622200).

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

144443011040200 is a wasteful number, since it uses less digits than its factorization.

144443011040200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11721 (or 11712 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 144443011040200 its reverse (2040110344441), we get a palindrome (146483121384641).

The spelling of 144443011040200 in words is "one hundred forty-four trillion, four hundred forty-three billion, eleven million, forty thousand, two hundred".