4010004221 has 16 divisors (see below), whose sum is σ = 4199646528. Its totient is φ = 3825244800.

The previous prime is 4010004209. The next prime is 4010004223. The reversal of 4010004221 is 1224000104.

It is a cyclic number.

It is not a de Polignac number, because 4010004221 - 2³⁰ = 2936262397 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4010004196 and 4010004205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4010004223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 664106 + ... + 670116.

It is an arithmetic number, because the mean of its divisors is an integer number (262477908).

Almost surely, 2^4010004221 is an apocalyptic number.

4010004221 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

4010004221 is a deficient number, since it is larger than the sum of its proper divisors (189642307).

4010004221 is a wasteful number, since it uses less digits than its factorization.

4010004221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6412.

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 4010004221 is about 63324.5941242421. The cubic root of 4010004221 is about 1588.7233427843.

Adding to 4010004221 its reverse (1224000104), we get a palindrome (5234004325).

The spelling of 4010004221 in words is "four billion, ten million, four thousand, two hundred twenty-one".