144114224412240 has 160 divisors (see below), whose sum is σ = 496636904275200. Its totient is φ = 38411610969600.

The previous prime is 144114224412203. The next prime is 144114224412241. The reversal of 144114224412240 is 42214422411441.

144114224412240 is a `hidden beast` number, since 1 + 4 + 4 + 1 + 1 + 422 + 4 + 4 + 1 + 224 + 0 = 666.

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 = 144114224412195 and 144114224412204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144114224412241) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 11956611 + ... + 20765090.

It is an arithmetic number, because the mean of its divisors is an integer number (3103980651720).

Almost surely, 2^{144114224412240} is an apocalyptic number.

144114224412240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144114224412240 is an abundant number, since it is smaller than the sum of its proper divisors (352522679862960).

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

144114224412240 is a wasteful number, since it uses less digits than its factorization.

144114224412240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32723762 (or 32723750 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

Adding to 144114224412240 its reverse (42214422411441), we get a palindrome (186328646823681).

The spelling of 144114224412240 in words is "one hundred forty-four trillion, one hundred fourteen billion, two hundred twenty-four million, four hundred twelve thousand, two hundred forty".