144040042131440 has 240 divisors, whose sum is σ = 419651175480768. Its totient is φ = 45573828636672.

The previous prime is 144040042131409. The next prime is 144040042131449. The reversal of 144040042131440 is 44131240040441.

144040042131440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 144040042131397 and 144040042131406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144040042131449) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 186791309 + ... + 187560851.

Almost surely, 2^{144040042131440} is an apocalyptic number.

144040042131440 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 144040042131440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209825587740384).

144040042131440 is an abundant number, since it is smaller than the sum of its proper divisors (275611133349328).

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

144040042131440 is a wasteful number, since it uses less digits than its factorization.

144040042131440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773256 (or 773243 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 144040042131440 its reverse (44131240040441), we get a palindrome (188171282171881).

The spelling of 144040042131440 in words is "one hundred forty-four trillion, forty billion, forty-two million, one hundred thirty-one thousand, four hundred forty".