144442231030240 has 384 divisors, whose sum is σ = 411030219156480. Its totient is φ = 47261352345600.

The previous prime is 144442231030231. The next prime is 144442231030241. The reversal of 144442231030240 is 42030132244441.

It is a junction number, because it is equal to n+sod(n) for n = 144442231030196 and 144442231030205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144442231030241) 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 63 ways as a sum of consecutive naturals, for example, 1113436101 + ... + 1113565819.

It is an arithmetic number, because the mean of its divisors is an integer number (1070391195720).

Almost surely, 2^{144442231030240} is an apocalyptic number.

144442231030240 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 144442231030240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205515109578240).

144442231030240 is an abundant number, since it is smaller than the sum of its proper divisors (266587988126240).

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

144442231030240 is a wasteful number, since it uses less digits than its factorization.

144442231030240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130986 (or 130978 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

Adding to 144442231030240 its reverse (42030132244441), we get a palindrome (186472363274681).

The spelling of 144442231030240 in words is "one hundred forty-four trillion, four hundred forty-two billion, two hundred thirty-one million, thirty thousand, two hundred forty".