6414509409 has 48 divisors (see below), whose sum is σ = 10930160640. Its totient is φ = 3250742400.

The previous prime is 6414509393. The next prime is 6414509417. The reversal of 6414509409 is 9049054146.

It is not a de Polignac number, because 6414509409 - 2⁴ = 6414509393 is a prime.

It is a super-2 number, since 2×6414509409² = 82291861916299058562, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6414509209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 380052 + ... + 396570.

It is an arithmetic number, because the mean of its divisors is an integer number (227711680).

Almost surely, 2^6414509409 is an apocalyptic number.

It is an amenable number.

6414509409 is a deficient number, since it is larger than the sum of its proper divisors (4515651231).

6414509409 is a wasteful number, since it uses less digits than its factorization.

6414509409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16622 (or 16581 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 6414509409 is about 80090.6324672243. The cubic root of 6414509409 is about 1858.0375309659.

The spelling of 6414509409 in words is "six billion, four hundred fourteen million, five hundred nine thousand, four hundred nine".