144044204122400 has 36 divisors (see below), whose sum is σ = 351647913315762. Its totient is φ = 57617681648640.

The previous prime is 144044204122397. The next prime is 144044204122421. The reversal of 144044204122400 is 4221402440441.

It can be written as a sum of positive squares in 3 ways, for example, as 117408406986256 + 26635797136144 = 10835516^2 + 5160988^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 90027626777 + ... + 90027628376.

Almost surely, 2^{144044204122400} is an apocalyptic number.

144044204122400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144044204122400 is an abundant number, since it is smaller than the sum of its proper divisors (207603709193362).

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

144044204122400 is a wasteful number, since it uses less digits than its factorization.

144044204122400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180055255173 (or 180055255160 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 32.

Adding to 144044204122400 its reverse (4221402440441), we get a palindrome (148265606562841).

The spelling of 144044204122400 in words is "one hundred forty-four trillion, forty-four billion, two hundred four million, one hundred twenty-two thousand, four hundred".