144432250240 has 128 divisors (see below), whose sum is σ = 365822853120. Its totient is φ = 54340485120.

The previous prime is 144432250231. The next prime is 144432250253. The reversal of 144432250240 is 42052234441.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23508609 + ... + 23514751.

It is an arithmetic number, because the mean of its divisors is an integer number (2857991040).

Almost surely, 2^144432250240 is an apocalyptic number.

144432250240 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 144432250240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182911426560).

144432250240 is an abundant number, since it is smaller than the sum of its proper divisors (221390602880).

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

144432250240 is a wasteful number, since it uses less digits than its factorization.

144432250240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8340 (or 8328 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 31.

Adding to 144432250240 its reverse (42052234441), we get a palindrome (186484484681).

The spelling of 144432250240 in words is "one hundred forty-four billion, four hundred thirty-two million, two hundred fifty thousand, two hundred forty".