144004221400200 has 192 divisors, whose sum is σ = 522051184680960. Its totient is φ = 32149779621120.

The previous prime is 144004221400189. The next prime is 144004221400219. The reversal of 144004221400200 is 2004122400441.

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 47 ways as a sum of consecutive naturals, for example, 398502184 + ... + 398863383.

It is an arithmetic number, because the mean of its divisors is an integer number (2719016586880).

Almost surely, 2^{144004221400200} is an apocalyptic number.

144004221400200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144004221400200 is an abundant number, since it is smaller than the sum of its proper divisors (378046963280760).

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

144004221400200 is a wasteful number, since it uses less digits than its factorization.

144004221400200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797365636 (or 797365627 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 144004221400200 its reverse (2004122400441), we get a palindrome (146008343800641).

The spelling of 144004221400200 in words is "one hundred forty-four trillion, four billion, two hundred twenty-one million, four hundred thousand, two hundred".