41914967827329 has 15 divisors (see below), whose sum is σ = 62613804413523. Its totient is φ = 27943273039824.

The previous prime is 41914967827309. The next prime is 41914967827331. The reversal of 41914967827329 is 92372876941914.

The square root of 41914967827329 is 6474177.

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

41914967827329 is a `hidden beast` number, since 4 + 1 + 91 + 496 + 7 + 8 + 27 + 3 + 29 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6495234530625 + 35419733296704 = 2548575^2 + 5951448^2 .

It is not a de Polignac number, because 41914967827329 - 2⁵ = 41914967827297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (41914967827309) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 57907917 + ... + 58627269.

Almost surely, 2^{41914967827329} is an apocalyptic number.

41914967827329 is the 6474177-th square number.

41914967827329 is the 3237089-th centered octagonal number.

It is an amenable number.

41914967827329 is a deficient number, since it is larger than the sum of its proper divisors (20698836586194).

41914967827329 is an frugal number, since it uses more digits than its factorization.

41914967827329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1438718 (or 719356 counting only the distinct ones).

The product of its digits is 329204736, while the sum is 72.

The spelling of 41914967827329 in words is "forty-one trillion, nine hundred fourteen billion, nine hundred sixty-seven million, eight hundred twenty-seven thousand, three hundred twenty-nine".