42668585201 has 16 divisors (see below), whose sum is σ = 46710743040. Its totient is φ = 38653811280.

The previous prime is 42668585177. The next prime is 42668585261. The reversal of 42668585201 is 10258586624.

It is a cyclic number.

It is not a de Polignac number, because 42668585201 - 2¹⁰ = 42668584177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42668585261) 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 15 ways as a sum of consecutive naturals, for example, 5695280 + ... + 5702766.

It is an arithmetic number, because the mean of its divisors is an integer number (2919421440).

Almost surely, 2^42668585201 is an apocalyptic number.

It is an amenable number.

42668585201 is a deficient number, since it is larger than the sum of its proper divisors (4042157839).

42668585201 is a wasteful number, since it uses less digits than its factorization.

42668585201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9244.

The product of its (nonzero) digits is 921600, while the sum is 47.

The spelling of 42668585201 in words is "forty-two billion, six hundred sixty-eight million, five hundred eighty-five thousand, two hundred one".