8009314407 has 12 divisors (see below), whose sum is σ = 11612020680. Its totient is φ = 5319691728.

The previous prime is 8009314393. The next prime is 8009314427. The reversal of 8009314407 is 7044139008.

It is a happy number.

It is not a de Polignac number, because 8009314407 - 2¹⁴ = 8009298023 is a prime.

It is a super-3 number, since 3×8009314407³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8009314427) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1651713 + ... + 1656554.

It is an arithmetic number, because the mean of its divisors is an integer number (967668390).

Almost surely, 2^8009314407 is an apocalyptic number.

8009314407 is a deficient number, since it is larger than the sum of its proper divisors (3602706273).

8009314407 is a wasteful number, since it uses less digits than its factorization.

8009314407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3308542 (or 3308539 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 8009314407 is about 89494.7730708336. The cubic root of 8009314407 is about 2000.7758995344.

The spelling of 8009314407 in words is "eight billion, nine million, three hundred fourteen thousand, four hundred seven".