8214121409 has 8 divisors (see below), whose sum is σ = 8978007360. Its totient is φ = 7469096976.

The previous prime is 8214121379. The next prime is 8214121417. The reversal of 8214121409 is 9041214128.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 8214121409 - 2¹⁶ = 8214055873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8214121499) 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 7 ways as a sum of consecutive naturals, for example, 4714469 + ... + 4716210.

It is an arithmetic number, because the mean of its divisors is an integer number (1122250920).

Almost surely, 2^8214121409 is an apocalyptic number.

It is an amenable number.

8214121409 is a deficient number, since it is larger than the sum of its proper divisors (763885951).

8214121409 is a wasteful number, since it uses less digits than its factorization.

8214121409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9430759.

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 8214121409 is about 90631.7902780255. The cubic root of 8214121409 is about 2017.6865821041.

The spelling of 8214121409 in words is "eight billion, two hundred fourteen million, one hundred twenty-one thousand, four hundred nine".