144414441200 has 60 divisors (see below), whose sum is σ = 347361368640. Its totient is φ = 57698234880.

The previous prime is 144414441169. The next prime is 144414441209. The reversal of 144414441200 is 2144414441.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144414441209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 132161 + ... + 553439.

It is an arithmetic number, because the mean of its divisors is an integer number (5789356144).

Almost surely, 2^144414441200 is an apocalyptic number.

144414441200 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 144414441200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173680684320).

144414441200 is an abundant number, since it is smaller than the sum of its proper divisors (202946927440).

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

144414441200 is a wasteful number, since it uses less digits than its factorization.

144414441200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422154 (or 422143 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 29.

Adding to 144414441200 its reverse (2144414441), we get a palindrome (146558855641).

The spelling of 144414441200 in words is "one hundred forty-four billion, four hundred fourteen million, four hundred forty-one thousand, two hundred".