144024341210200 has 192 divisors, whose sum is σ = 367910979333120. Its totient is φ = 51998531904000.

The previous prime is 144024341210177. The next prime is 144024341210209. The reversal of 144024341210200 is 2012143420441.

It is a super-2 number, since 2×144024341210200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144024341210209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 355169962 + ... + 355575238.

It is an arithmetic number, because the mean of its divisors is an integer number (1916203017360).

Almost surely, 2^{144024341210200} is an apocalyptic number.

144024341210200 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 144024341210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183955489666560).

144024341210200 is an abundant number, since it is smaller than the sum of its proper divisors (223886638122920).

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

144024341210200 is a wasteful number, since it uses less digits than its factorization.

144024341210200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406458 (or 406449 counting only the distinct ones).

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

Adding to 144024341210200 its reverse (2012143420441), we get a palindrome (146036484630641).

The spelling of 144024341210200 in words is "one hundred forty-four trillion, twenty-four billion, three hundred forty-one million, two hundred ten thousand, two hundred".