41281460254225 has 81 divisors (see below), whose sum is σ = 54775077635161. Its totient is φ = 30856760166400.

The previous prime is 41281460254219. The next prime is 41281460254241. The reversal of 41281460254225 is 52245206418214.

The square root of 41281460254225 is 6425065.

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

It can be written as a sum of positive squares in 40 ways, for example, as 39765547716049 + 1515912538176 = 6305993^2 + 1231224^2 .

It is not a de Polignac number, because 41281460254225 - 2¹⁵ = 41281460221457 is a prime.

It is a Duffinian number.

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, 146909111085 + ... + 146909111365.

Almost surely, 2^{41281460254225} is an apocalyptic number.

41281460254225 is the 6425065-th square number.

41281460254225 is the 3212533-rd centered octagonal number.

It is an amenable number.

41281460254225 is a deficient number, since it is larger than the sum of its proper divisors (13493617380936).

41281460254225 is an frugal number, since it uses more digits than its factorization.

41281460254225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 46.

The spelling of 41281460254225 in words is "forty-one trillion, two hundred eighty-one billion, four hundred sixty million, two hundred fifty-four thousand, two hundred twenty-five".