4004020113 has 16 divisors (see below), whose sum is σ = 5586806400. Its totient is φ = 2545956864.

The previous prime is 4004020103. The next prime is 4004020151. The reversal of 4004020113 is 3110204004.

It is not a de Polignac number, because 4004020113 - 2²⁰ = 4002971537 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4004020092 and 4004020101.

It is not an unprimeable number, because it can be changed into a prime (4004020103) 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 15 ways as a sum of consecutive naturals, for example, 59056 + ... + 107217.

It is an arithmetic number, because the mean of its divisors is an integer number (349175400).

Almost surely, 2^4004020113 is an apocalyptic number.

It is an amenable number.

4004020113 is a deficient number, since it is larger than the sum of its proper divisors (1582786287).

4004020113 is a wasteful number, since it uses less digits than its factorization.

4004020113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166648.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 4004020113 is about 63277.3270058083. The cubic root of 4004020113 is about 1587.9326682119.

Adding to 4004020113 its reverse (3110204004), we get a palindrome (7114224117).

The spelling of 4004020113 in words is "four billion, four million, twenty thousand, one hundred thirteen".