4005004311 has 128 divisors (see below), whose sum is σ = 7619788800. Its totient is φ = 2019012480.

The previous prime is 4005004301. The next prime is 4005004337. The reversal of 4005004311 is 1134005004.

It is a happy number.

It is not a de Polignac number, because 4005004311 - 2¹⁴ = 4004987927 is a prime.

It is a super-2 number, since 2×4005004311² = 32080119062257169442, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4005004301) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12633925 + ... + 12634241.

It is an arithmetic number, because the mean of its divisors is an integer number (59529600).

Almost surely, 2^4005004311 is an apocalyptic number.

4005004311 is a deficient number, since it is larger than the sum of its proper divisors (3614784489).

4005004311 is a wasteful number, since it uses less digits than its factorization.

4005004311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 500 counting only the distinct ones).

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

The square root of 4005004311 is about 63285.1033893443. The cubic root of 4005004311 is about 1588.0627634728.

Adding to 4005004311 its reverse (1134005004), we get a palindrome (5139009315).

The spelling of 4005004311 in words is "four billion, five million, four thousand, three hundred eleven".