41952461329 has 9 divisors (see below), whose sum is σ = 42177944827. Its totient is φ = 41728180144.

The previous prime is 41952461321. The next prime is 41952461351. The reversal of 41952461329 is 92316425914.

The square root of 41952461329 is 204823.

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

It can be written as a sum of positive squares in only one way, i.e., 38877980625 + 3074480704 = 197175^2 + 55448^2 .

It is not a de Polignac number, because 41952461329 - 2³ = 41952461321 is a prime.

It is a super-2 number, since 2×41952461329² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (41952461321) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 48952269 + ... + 48953125.

Almost surely, 2^41952461329 is an apocalyptic number.

41952461329 is the 204823-rd square number.

41952461329 is the 102412-nd centered octagonal number.

It is an amenable number.

41952461329 is a deficient number, since it is larger than the sum of its proper divisors (225483498).

41952461329 is an frugal number, since it uses more digits than its factorization.

41952461329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2192 (or 1096 counting only the distinct ones).

The product of its digits is 466560, while the sum is 46.

The spelling of 41952461329 in words is "forty-one billion, nine hundred fifty-two million, four hundred sixty-one thousand, three hundred twenty-nine".