41726641441 has 9 divisors (see below), whose sum is σ = 41916862771. Its totient is φ = 41537282224.

The previous prime is 41726641427. The next prime is 41726641471. The reversal of 41726641441 is 14414662714.

It is a happy number.

The square root of 41726641441 is 204271.

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., 6877219041 + 34849422400 = 82929^2 + 186680^2 .

It is not a de Polignac number, because 41726641441 - 2¹¹ = 41726639393 is a prime.

It is a super-2 number, since 2×41726641441² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 41726641394 and 41726641403.

It is not an unprimeable number, because it can be changed into a prime (41726641471) 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, 73333005 + ... + 73333573.

Almost surely, 2^41726641441 is an apocalyptic number.

41726641441 is the 204271-st square number.

41726641441 is the 102136-th centered octagonal number.

It is an amenable number.

41726641441 is a deficient number, since it is larger than the sum of its proper divisors (190221330).

41726641441 is an frugal number, since it uses more digits than its factorization.

41726641441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1856 (or 928 counting only the distinct ones).

The product of its digits is 129024, while the sum is 40.

The spelling of 41726641441 in words is "forty-one billion, seven hundred twenty-six million, six hundred forty-one thousand, four hundred forty-one".