144304240432 has 80 divisors (see below), whose sum is σ = 306764115840. Its totient is φ = 65215756800.

The previous prime is 144304240387. The next prime is 144304240447. The reversal of 144304240432 is 234042403441.

144304240432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 144304240394 and 144304240403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33255319 + ... + 33259657.

It is an arithmetic number, because the mean of its divisors is an integer number (3834551448).

Almost surely, 2^144304240432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144304240432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153382057920).

144304240432 is an abundant number, since it is smaller than the sum of its proper divisors (162459875408).

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

144304240432 is a wasteful number, since it uses less digits than its factorization.

144304240432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5402 (or 5396 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 144304240432 its reverse (234042403441), we get a palindrome (378346643873).

The spelling of 144304240432 in words is "one hundred forty-four billion, three hundred four million, two hundred forty thousand, four hundred thirty-two".