40144101043217 has 2 divisors, whose sum is σ = 40144101043218. Its totient is φ = 40144101043216.

The previous prime is 40144101043199. The next prime is 40144101043237. The reversal of 40144101043217 is 71234010144104.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 31319256442321 + 8824844600896 = 5596361^2 + 2970664^2 .

It is a cyclic number.

It is not a de Polignac number, because 40144101043217 - 2²⁶ = 40144033934353 is a prime.

It is a super-2 number, since 2×40144101043217² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (40144101043237) 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 as a sum of consecutive naturals, namely, 20072050521608 + 20072050521609.

It is an arithmetic number, because the mean of its divisors is an integer number (20072050521609).

Almost surely, 2^{40144101043217} is an apocalyptic number.

It is an amenable number.

40144101043217 is a deficient number, since it is larger than the sum of its proper divisors (1).

40144101043217 is an equidigital number, since it uses as much as digits as its factorization.

40144101043217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10752, while the sum is 32.

The spelling of 40144101043217 in words is "forty trillion, one hundred forty-four billion, one hundred one million, forty-three thousand, two hundred seventeen".