144013342121440 has 48 divisors (see below), whose sum is σ = 371161659017520. Its totient is φ = 52368488043520.

The previous prime is 144013342121359. The next prime is 144013342121443. The reversal of 144013342121440 is 44121243310441.

It is a junction number, because it is equal to n+sod(n) for n = 144013342121396 and 144013342121405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144013342121443) 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 7 ways as a sum of consecutive naturals, for example, 40912879525 + ... + 40912883044.

It is an arithmetic number, because the mean of its divisors is an integer number (7732534562865).

Almost surely, 2^{144013342121440} is an apocalyptic number.

144013342121440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144013342121440 is an abundant number, since it is smaller than the sum of its proper divisors (227148316896080).

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

144013342121440 is a wasteful number, since it uses less digits than its factorization.

144013342121440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81825762595 (or 81825762587 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

Adding to 144013342121440 its reverse (44121243310441), we get a palindrome (188134585431881).

The spelling of 144013342121440 in words is "one hundred forty-four trillion, thirteen billion, three hundred forty-two million, one hundred twenty-one thousand, four hundred forty".