4204202013 has 48 divisors (see below), whose sum is σ = 6736055040. Its totient is φ = 2505484800.

The previous prime is 4204202003. The next prime is 4204202027. The reversal of 4204202013 is 3102024024.

4204202013 is a `hidden beast` number, since 42 + 0 + 420 + 201 + 3 = 666.

4204202013 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4204202013 - 2²⁴ = 4187424797 is a prime.

It is a super-2 number, since 2×4204202013² = 35350629132226504338, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4204202003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2196745 + ... + 2198657.

It is an arithmetic number, because the mean of its divisors is an integer number (140334480).

Almost surely, 2^4204202013 is an apocalyptic number.

It is an amenable number.

4204202013 is a deficient number, since it is larger than the sum of its proper divisors (2531853027).

4204202013 is a wasteful number, since it uses less digits than its factorization.

4204202013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2290 (or 2287 counting only the distinct ones).

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

The square root of 4204202013 is about 64839.8181135635. The cubic root of 4204202013 is about 1613.9665339956.

Adding to 4204202013 its reverse (3102024024), we get a palindrome (7306226037).

The spelling of 4204202013 in words is "four billion, two hundred four million, two hundred two thousand, thirteen".