4002114321 has 24 divisors (see below), whose sum is σ = 5844462624. Its totient is φ = 2638846080.

The previous prime is 4002114301. The next prime is 4002114329. The reversal of 4002114321 is 1234112004.

It is not a de Polignac number, because 4002114321 - 2⁶ = 4002114257 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4002114294 and 4002114303.

It is not an unprimeable number, because it can be changed into a prime (4002114329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 356425 + ... + 367481.

It is an arithmetic number, because the mean of its divisors is an integer number (243519276).

Almost surely, 2^4002114321 is an apocalyptic number.

It is an amenable number.

4002114321 is a deficient number, since it is larger than the sum of its proper divisors (1842348303).

4002114321 is a wasteful number, since it uses less digits than its factorization.

4002114321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11501 (or 11498 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4002114321 is about 63262.2661702851. The cubic root of 4002114321 is about 1587.6806923182.

Adding to 4002114321 its reverse (1234112004), we get a palindrome (5236226325).

The spelling of 4002114321 in words is "four billion, two million, one hundred fourteen thousand, three hundred twenty-one".