4242413311305 has 48 divisors (see below), whose sum is σ = 7352614031616. Its totient is φ = 2087878041600.

The previous prime is 4242413311267. The next prime is 4242413311309. The reversal of 4242413311305 is 5031133142424.

It is not a de Polignac number, because 4242413311305 - 2²⁰ = 4242412262729 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4242413311309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7386505 + ... + 7940105.

It is an arithmetic number, because the mean of its divisors is an integer number (153179458992).

Almost surely, 2^{4242413311305} is an apocalyptic number.

It is an amenable number.

4242413311305 is a deficient number, since it is larger than the sum of its proper divisors (3110200720311).

4242413311305 is a wasteful number, since it uses less digits than its factorization.

4242413311305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556658 (or 556645 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 4242413311305 its reverse (5031133142424), we get a palindrome (9273546453729).

The spelling of 4242413311305 in words is "four trillion, two hundred forty-two billion, four hundred thirteen million, three hundred eleven thousand, three hundred five".