144241120041440 has 384 divisors, whose sum is σ = 361473070694400. Its totient is φ = 54283373641728.

The previous prime is 144241120041437. The next prime is 144241120041449. The reversal of 144241120041440 is 44140021142441.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 144241120041397 and 144241120041406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144241120041449) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34204674212 + ... + 34204678428.

It is an arithmetic number, because the mean of its divisors is an integer number (941336121600).

Almost surely, 2^{144241120041440} is an apocalyptic number.

144241120041440 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 144241120041440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180736535347200).

144241120041440 is an abundant number, since it is smaller than the sum of its proper divisors (217231950652960).

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

144241120041440 is a wasteful number, since it uses less digits than its factorization.

144241120041440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4994 (or 4986 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

Adding to 144241120041440 its reverse (44140021142441), we get a palindrome (188381141183881).

The spelling of 144241120041440 in words is "one hundred forty-four trillion, two hundred forty-one billion, one hundred twenty million, forty-one thousand, four hundred forty".