4042133212201 has 96 divisors (see below), whose sum is σ = 5006100787200. Its totient is φ = 3190931573760.

The previous prime is 4042133212157. The next prime is 4042133212303. The reversal of 4042133212201 is 1022123312404.

It is not a de Polignac number, because 4042133212201 - 2⁹ = 4042133211689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4042133212501) 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 95 ways as a sum of consecutive naturals, for example, 9882966085 + ... + 9882966493.

It is an arithmetic number, because the mean of its divisors is an integer number (52146883200).

Almost surely, 2^{4042133212201} is an apocalyptic number.

It is an amenable number.

4042133212201 is a deficient number, since it is larger than the sum of its proper divisors (963967574999).

4042133212201 is a wasteful number, since it uses less digits than its factorization.

4042133212201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 4042133212201 its reverse (1022123312404), we get a palindrome (5064256524605).

The spelling of 4042133212201 in words is "four trillion, forty-two billion, one hundred thirty-three million, two hundred twelve thousand, two hundred one".