144040014313344 has 192 divisors, whose sum is σ = 453029079185280. Its totient is φ = 43731313459200.

The previous prime is 144040014313343. The next prime is 144040014313369. The reversal of 144040014313344 is 443313410040441.

144040014313344 is a `hidden beast` number, since 1 + 4 + 40 + 400 + 1 + 43 + 133 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 144040014313299 and 144040014313308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144040014313343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118021677 + ... + 119235884.

It is an arithmetic number, because the mean of its divisors is an integer number (2359526454090).

Almost surely, 2^{144040014313344} is an apocalyptic number.

It is an amenable number.

144040014313344 is an abundant number, since it is smaller than the sum of its proper divisors (308989064871936).

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

144040014313344 is a wasteful number, since it uses less digits than its factorization.

144040014313344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237257629 (or 237257614 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 144040014313344 its reverse (443313410040441), we get a palindrome (587353424353785).

The spelling of 144040014313344 in words is "one hundred forty-four trillion, forty billion, fourteen million, three hundred thirteen thousand, three hundred forty-four".