4202004213 has 72 divisors (see below), whose sum is σ = 7082393760. Its totient is φ = 2377972800.

The previous prime is 4202004203. The next prime is 4202004229. The reversal of 4202004213 is 3124002024.

4202004213 is a `hidden beast` number, since 42 + 0 + 200 + 421 + 3 = 666.

It is not a de Polignac number, because 4202004213 - 2⁵ = 4202004181 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4202004203) 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 71 ways as a sum of consecutive naturals, for example, 2758270 + ... + 2759792.

It is an arithmetic number, because the mean of its divisors is an integer number (98366580).

Almost surely, 2^4202004213 is an apocalyptic number.

It is an amenable number.

4202004213 is a deficient number, since it is larger than the sum of its proper divisors (2880389547).

4202004213 is a wasteful number, since it uses less digits than its factorization.

4202004213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631 (or 1597 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4202004213 is about 64822.8679788236. The cubic root of 4202004213 is about 1613.6852444724.

Adding to 4202004213 its reverse (3124002024), we get a palindrome (7326006237).

The spelling of 4202004213 in words is "four billion, two hundred two million, four thousand, two hundred thirteen".