4002114405 has 32 divisors (see below), whose sum is σ = 6714984960. Its totient is φ = 2032611840.

The previous prime is 4002114397. The next prime is 4002114407. The reversal of 4002114405 is 5044112004.

It is a happy number.

4002114405 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4002114405 - 2³ = 4002114397 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4002114407) 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 31 ways as a sum of consecutive naturals, for example, 31261 + ... + 94770.

It is an arithmetic number, because the mean of its divisors is an integer number (209843280).

Almost surely, 2^4002114405 is an apocalyptic number.

It is an amenable number.

4002114405 is a deficient number, since it is larger than the sum of its proper divisors (2712870555).

4002114405 is a wasteful number, since it uses less digits than its factorization.

4002114405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126141.

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 4002114405 is about 63262.2668341880. The cubic root of 4002114405 is about 1587.6807034261.

Adding to 4002114405 its reverse (5044112004), we get a palindrome (9046226409).

The spelling of 4002114405 in words is "four billion, two million, one hundred fourteen thousand, four hundred five".