41743732761721 has 9 divisors (see below), whose sum is σ = 43233001703983. Its totient is φ = 40304112794680.

The previous prime is 41743732761707. The next prime is 41743732761761. The reversal of 41743732761721 is 12716723734714.

It is a happy number.

The square root of 41743732761721 is 6460939.

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., 21889400889321 + 19854331872400 = 4678611^2 + 4455820^2 .

It is not a de Polignac number, because 41743732761721 - 2⁷ = 41743732761593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (41743732761761) 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, 187255836 + ... + 187478626.

Almost surely, 2^{41743732761721} is an apocalyptic number.

41743732761721 is the 6460939-th square number.

41743732761721 is the 3230470-th centered octagonal number.

It is an amenable number.

41743732761721 is a deficient number, since it is larger than the sum of its proper divisors (1489268942262).

41743732761721 is an frugal number, since it uses more digits than its factorization.

41743732761721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445640 (or 222820 counting only the distinct ones).

The product of its digits is 8297856, while the sum is 55.

The spelling of 41743732761721 in words is "forty-one trillion, seven hundred forty-three billion, seven hundred thirty-two million, seven hundred sixty-one thousand, seven hundred twenty-one".