21095841906441 has 27 divisors (see below), whose sum is σ = 30522948640743. Its totient is φ = 14040314034480.

The previous prime is 21095841906413. The next prime is 21095841906443. The reversal of 21095841906441 is 14460914859012.

The square root of 21095841906441 is 4593021.

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

21095841906441 is a `hidden beast` number, since 2 + 1 + 0 + 9 + 5 + 8 + 4 + 190 + 6 + 441 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13081394146041 + 8014447760400 = 3616821^2 + 2830980^2 .

It is not a de Polignac number, because 21095841906441 - 2¹⁷ = 21095841775369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21095841906443) 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 26 ways as a sum of consecutive naturals, for example, 12966097470 + ... + 12966099096.

Almost surely, 2^{21095841906441} is an apocalyptic number.

21095841906441 is the 4593021-st square number.

21095841906441 is the 2296511-st centered octagonal number.

It is an amenable number.

21095841906441 is a deficient number, since it is larger than the sum of its proper divisors (9427106734302).

21095841906441 is an frugal number, since it uses more digits than its factorization.

21095841906441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5142 (or 2571 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 21095841906441 in words is "twenty-one trillion, ninety-five billion, eight hundred forty-one million, nine hundred six thousand, four hundred forty-one".