8414408406009 has 8 divisors (see below), whose sum is σ = 11219835366880. Its totient is φ = 5609293524576.

The previous prime is 8414408405989. The next prime is 8414408406011. The reversal of 8414408406009 is 9006048044148.

It is a happy number.

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

It is not a de Polignac number, because 8414408406009 - 2⁹ = 8414408405497 is a prime.

It is a super-2 number, since 2×8414408406009² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8414408426009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77956939 + ... + 78064800.

It is an arithmetic number, because the mean of its divisors is an integer number (1402479420860).

Almost surely, 2^{8414408406009} is an apocalyptic number.

It is an amenable number.

8414408406009 is a deficient number, since it is larger than the sum of its proper divisors (2805426960871).

8414408406009 is a wasteful number, since it uses less digits than its factorization.

8414408406009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156039719.

The product of its (nonzero) digits is 884736, while the sum is 48.

The spelling of 8414408406009 in words is "eight trillion, four hundred fourteen billion, four hundred eight million, four hundred six thousand, nine".