4042122340201 has 64 divisors (see below), whose sum is σ = 4696967761920. Its totient is φ = 3445220416000.

The previous prime is 4042122340189. The next prime is 4042122340231. The reversal of 4042122340201 is 1020432212404.

It is not a de Polignac number, because 4042122340201 - 2¹¹ = 4042122338153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4042122340231) 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 63 ways as a sum of consecutive naturals, for example, 1597044306 + ... + 1597046836.

It is an arithmetic number, because the mean of its divisors is an integer number (73390121280).

Almost surely, 2^{4042122340201} is an apocalyptic number.

4042122340201 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

4042122340201 is a deficient number, since it is larger than the sum of its proper divisors (654845421719).

4042122340201 is a wasteful number, since it uses less digits than its factorization.

4042122340201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3966.

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 4042122340201 its reverse (1020432212404), we get a palindrome (5062554552605).

The spelling of 4042122340201 in words is "four trillion, forty-two billion, one hundred twenty-two million, three hundred forty thousand, two hundred one".