41721458416225 has 81 divisors (see below), whose sum is σ = 60577916906451. Its totient is φ = 28421579474400.

The previous prime is 41721458416219. The next prime is 41721458416249. The reversal of 41721458416225 is 52261485412714.

It is a happy number.

The square root of 41721458416225 is 6459215.

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., 15019725029841 + 26701733386384 = 3875529^2 + 5167372^2 .

It is not a de Polignac number, because 41721458416225 - 2¹¹ = 41721458414177 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 40466981460 + ... + 40466982490.

Almost surely, 2^{41721458416225} is an apocalyptic number.

41721458416225 is the 6459215-th square number.

41721458416225 is the 3229608-th centered octagonal number.

It is an amenable number.

41721458416225 is a deficient number, since it is larger than the sum of its proper divisors (18856458490226).

41721458416225 is an frugal number, since it uses more digits than its factorization.

41721458416225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2444 (or 1222 counting only the distinct ones).

The product of its digits is 4300800, while the sum is 52.

The spelling of 41721458416225 in words is "forty-one trillion, seven hundred twenty-one billion, four hundred fifty-eight million, four hundred sixteen thousand, two hundred twenty-five".