4200042001 has 2 divisors, whose sum is σ = 4200042002. Its totient is φ = 4200042000.

The previous prime is 4200041999. The next prime is 4200042023. The reversal of 4200042001 is 1002400024.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4199040000 + 1002001 = 64800^2 + 1001^2 .

It is a cyclic number.

It is not a de Polignac number, because 4200042001 - 2¹ = 4200041999 is a prime.

Together with 4200041999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (4200042101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2100021000 + 2100021001.

It is an arithmetic number, because the mean of its divisors is an integer number (2100021001).

Almost surely, 2^4200042001 is an apocalyptic number.

It is an amenable number.

4200042001 is a deficient number, since it is larger than the sum of its proper divisors (1).

4200042001 is an equidigital number, since it uses as much as digits as its factorization.

4200042001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 4200042001 is about 64807.7310280186. The cubic root of 4200042001 is about 1613.4340242302.

Adding to 4200042001 its reverse (1002400024), we get a palindrome (5202442025).

The spelling of 4200042001 in words is "four billion, two hundred million, forty-two thousand, one".