41238643329 has 81 divisors (see below), whose sum is σ = 66637719369. Its totient is φ = 24563710080.

The previous prime is 41238643319. The next prime is 41238643343. The reversal of 41238643329 is 92334683214.

The square root of 41238643329 is 203073.

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

It can be written as a sum of positive squares in 4 ways, for example, as 27468090225 + 13770553104 = 165735^2 + 117348^2 .

It is not a de Polignac number, because 41238643329 - 2⁹ = 41238642817 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (41238643319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 324713664 + ... + 324713790.

Almost surely, 2^41238643329 is an apocalyptic number.

41238643329 is the 203073-rd square number.

41238643329 is the 101537-th centered octagonal number.

It is an amenable number.

41238643329 is a deficient number, since it is larger than the sum of its proper divisors (25399076040).

41238643329 is a wasteful number, since it uses less digits than its factorization.

41238643329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 184 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The spelling of 41238643329 in words is "forty-one billion, two hundred thirty-eight million, six hundred forty-three thousand, three hundred twenty-nine".