43431810409 has 81 divisors (see below), whose sum is σ = 53530324239. Its totient is φ = 35211770880.

The previous prime is 43431810377. The next prime is 43431810439. The reversal of 43431810409 is 90401813434.

The square root of 43431810409 is 208403.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 42744322009 + 687488400 = 206747^2 + 26220^2 .

It is not a de Polignac number, because 43431810409 - 2⁵ = 43431810377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (43431810439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1059312429 + ... + 1059312469.

Almost surely, 2^43431810409 is an apocalyptic number.

43431810409 is the 208403-rd square number.

43431810409 is the 104202-nd centered octagonal number.

It is an amenable number.

43431810409 is a deficient number, since it is larger than the sum of its proper divisors (10098513830).

43431810409 is a wasteful number, since it uses less digits than its factorization.

43431810409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 43431810409 in words is "forty-three billion, four hundred thirty-one million, eight hundred ten thousand, four hundred nine".