41021040324289 has 81 divisors (see below), whose sum is σ = 46766004787971. Its totient is φ = 35969171472000.

The previous prime is 41021040324287. The next prime is 41021040324311. The reversal of 41021040324289 is 98242304012014.

The square root of 41021040324289 is 6404767.

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

41021040324289 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 31936796100225 + 9084244224064 = 5651265^2 + 3014008^2 .

It is not a de Polignac number, because 41021040324289 - 2¹ = 41021040324287 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (41021040324287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 163430439414 + ... + 163430439664.

Almost surely, 2^{41021040324289} is an apocalyptic number.

41021040324289 is the 6404767-th square number.

41021040324289 is the 3202384-th centered octagonal number.

It is an amenable number.

41021040324289 is a deficient number, since it is larger than the sum of its proper divisors (5744964463682).

41021040324289 is an frugal number, since it uses more digits than its factorization.

41021040324289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The spelling of 41021040324289 in words is "forty-one trillion, twenty-one billion, forty million, three hundred twenty-four thousand, two hundred eighty-nine".