42591466129 has 9 divisors (see below), whose sum is σ = 43526861161. Its totient is φ = 41675771380.

The previous prime is 42591466123. The next prime is 42591466133. The reversal of 42591466129 is 92166419524.

It is a happy number.

The square root of 42591466129 is 206377.

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

It is not a de Polignac number, because 42591466129 - 2¹⁷ = 42591335057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42591466123) 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 8 ways as a sum of consecutive naturals, for example, 9697524 + ... + 9701914.

Almost surely, 2^42591466129 is an apocalyptic number.

42591466129 is the 206377-th square number.

42591466129 is the 103189-th centered octagonal number.

It is an amenable number.

42591466129 is a deficient number, since it is larger than the sum of its proper divisors (935395032).

42591466129 is an frugal number, since it uses more digits than its factorization.

42591466129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8876 (or 4438 counting only the distinct ones).

The product of its digits is 933120, while the sum is 49.

Multiplying 42591466129 by its sum of digits (49), we get a square (2086981840321 = 1444639²).

The spelling of 42591466129 in words is "forty-two billion, five hundred ninety-one million, four hundred sixty-six thousand, one hundred twenty-nine".