144114320343240 has 384 divisors, whose sum is σ = 523137673618560. Its totient is φ = 35470491992064.

The previous prime is 144114320343211. The next prime is 144114320343251. The reversal of 144114320343240 is 42343023411441.

144114320343240 is a `hidden beast` number, since 1 + 4 + 4 + 1 + 1 + 4 + 320 + 3 + 4 + 324 + 0 = 666.

It is a super-2 number, since 2×144114320343240² (a number of 29 digits) contains 22 as substring.

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 = 144114320343195 and 144114320343204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1285909687 + ... + 1286021753.

It is an arithmetic number, because the mean of its divisors is an integer number (1362337691715).

Almost surely, 2^{144114320343240} is an apocalyptic number.

144114320343240 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 144114320343240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261568836809280).

144114320343240 is an abundant number, since it is smaller than the sum of its proper divisors (379023353275320).

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

144114320343240 is a wasteful number, since it uses less digits than its factorization.

144114320343240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122283 (or 122267 counting only the distinct ones).

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

Adding to 144114320343240 its reverse (42343023411441), we get a palindrome (186457343754681).

The spelling of 144114320343240 in words is "one hundred forty-four trillion, one hundred fourteen billion, three hundred twenty million, three hundred forty-three thousand, two hundred forty".