144022413333200 has 120 divisors (see below), whose sum is σ = 347206493995320. Its totient is φ = 57410503833600.

The previous prime is 144022413333199. The next prime is 144022413333229. The reversal of 144022413333200 is 2333314220441.

It can be written as a sum of positive squares in 12 ways, for example, as 142980658332304 + 1041755000896 = 11957452^2 + 1020664^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 439705490 + ... + 440032910.

It is an arithmetic number, because the mean of its divisors is an integer number (2893387449961).

Almost surely, 2^{144022413333200} is an apocalyptic number.

144022413333200 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 144022413333200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173603246997660).

144022413333200 is an abundant number, since it is smaller than the sum of its proper divisors (203184080662120).

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

144022413333200 is a wasteful number, since it uses less digits than its factorization.

144022413333200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331225 (or 331214 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 144022413333200 its reverse (2333314220441), we get a palindrome (146355727553641).

The spelling of 144022413333200 in words is "one hundred forty-four trillion, twenty-two billion, four hundred thirteen million, three hundred thirty-three thousand, two hundred".