144240324310040 has 192 divisors, whose sum is σ = 380441629582560. Its totient is φ = 49073471784960.

The previous prime is 144240324309941. The next prime is 144240324310063. The reversal of 144240324310040 is 40013423042441.

It is a junction number, because it is equal to n+sod(n) for n = 144240324309979 and 144240324310006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133268255 + ... + 134346225.

Almost surely, 2^{144240324310040} is an apocalyptic number.

144240324310040 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 144240324310040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190220814791280).

144240324310040 is an abundant number, since it is smaller than the sum of its proper divisors (236201305272520).

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

144240324310040 is a wasteful number, since it uses less digits than its factorization.

144240324310040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078522 (or 1078511 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 144240324310040 its reverse (40013423042441), we get a palindrome (184253747352481).

The spelling of 144240324310040 in words is "one hundred forty-four trillion, two hundred forty billion, three hundred twenty-four million, three hundred ten thousand, forty".