41485135041 has 135 divisors (see below), whose sum is σ = 74699537913. Its totient is φ = 22877225280.

The previous prime is 41485134959. The next prime is 41485135091. The reversal of 41485135041 is 14053158414.

The square root of 41485135041 is 203679.

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

41485135041 is a `hidden beast` number, since 4 + 1 + 485 + 135 + 0 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5573369025 + 35911766016 = 74655^2 + 189504^2 .

It is not a de Polignac number, because 41485135041 - 2⁷ = 41485134913 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 41485134987 and 41485135005.

It is not an unprimeable number, because it can be changed into a prime (41485135091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 680084151 + ... + 680084211.

Almost surely, 2^41485135041 is an apocalyptic number.

41485135041 is the 203679-th square number.

41485135041 is the 101840-th centered octagonal number.

It is an amenable number.

41485135041 is a deficient number, since it is larger than the sum of its proper divisors (33214402872).

41485135041 is an frugal number, since it uses more digits than its factorization.

41485135041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

Multiplying 41485135041 by its sum of digits (36), we get a square (1493464861476 = 1222074²).

The spelling of 41485135041 in words is "forty-one billion, four hundred eighty-five million, one hundred thirty-five thousand, forty-one".