41382544329 has 45 divisors (see below), whose sum is σ = 71933440887. Its totient is φ = 23639844816.

The previous prime is 41382544303. The next prime is 41382544361. The reversal of 41382544329 is 92344528314.

The square root of 41382544329 is 203427.

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

41382544329 is a `hidden beast` number, since 4 + 1 + 3 + 82 + 544 + 3 + 29 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12448534329 + 28934010000 = 111573^2 + 170100^2 .

It is not a de Polignac number, because 41382544329 - 2⁵ = 41382544297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (41382544829) 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 44 ways as a sum of consecutive naturals, for example, 12814287 + ... + 12817515.

Almost surely, 2^41382544329 is an apocalyptic number.

41382544329 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

41382544329 is the 203427-th square number.

41382544329 is the 101714-th centered octagonal number.

It is an amenable number.

41382544329 is a deficient number, since it is larger than the sum of its proper divisors (30550896558).

41382544329 is an frugal number, since it uses more digits than its factorization.

41382544329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6484 (or 3239 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The spelling of 41382544329 in words is "forty-one billion, three hundred eighty-two million, five hundred forty-four thousand, three hundred twenty-nine".