144040020321340 has 192 divisors, whose sum is σ = 367853016384000. Its totient is φ = 46652280837120.

The previous prime is 144040020321317. The next prime is 144040020321343. The reversal of 144040020321340 is 43123020040441.

It is a junction number, because it is equal to n+sod(n) for n = 144040020321299 and 144040020321308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144040020321343) 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, 130412331 + ... + 131512189.

It is an arithmetic number, because the mean of its divisors is an integer number (1915901127000).

Almost surely, 2^{144040020321340} is an apocalyptic number.

144040020321340 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 144040020321340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183926508192000).

144040020321340 is an abundant number, since it is smaller than the sum of its proper divisors (223812996062660).

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

144040020321340 is a wasteful number, since it uses less digits than its factorization.

144040020321340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101500 (or 1101498 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 144040020321340 its reverse (43123020040441), we get a palindrome (187163040361781).

The spelling of 144040020321340 in words is "one hundred forty-four trillion, forty billion, twenty million, three hundred twenty-one thousand, three hundred forty".