4005220311 has 32 divisors (see below), whose sum is σ = 6256544000. Its totient is φ = 2525325984.

The previous prime is 4005220279. The next prime is 4005220319. The reversal of 4005220311 is 1130225004.

4005220311 is a `hidden beast` number, since 400 + 52 + 203 + 11 = 666.

It is not a de Polignac number, because 4005220311 - 2⁵ = 4005220279 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4005220319) 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 31 ways as a sum of consecutive naturals, for example, 311241 + ... + 323853.

It is an arithmetic number, because the mean of its divisors is an integer number (195517000).

Almost surely, 2^4005220311 is an apocalyptic number.

4005220311 is a deficient number, since it is larger than the sum of its proper divisors (2251323689).

4005220311 is a wasteful number, since it uses less digits than its factorization.

4005220311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13260 (or 13254 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 4005220311 is about 63286.8099290840. The cubic root of 4005220311 is about 1588.0913123718.

Adding to 4005220311 its reverse (1130225004), we get a palindrome (5135445315).

The spelling of 4005220311 in words is "four billion, five million, two hundred twenty thousand, three hundred eleven".