1821341884041 has 27 divisors (see below), whose sum is σ = 2750324780749. Its totient is φ = 1161376023192.

The previous prime is 1821341883997. The next prime is 1821341884051. The reversal of 1821341884041 is 1404881431281.

The square root of 1821341884041 is 1349571.

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

1821341884041 is a `hidden beast` number, since 18 + 21 + 34 + 188 + 404 + 1 = 666.

It is not a de Polignac number, because 1821341884041 - 2⁷ = 1821341883913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1821341884051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 93110620 + ... + 93130178.

Almost surely, 2^{1821341884041} is an apocalyptic number.

1821341884041 is the 1349571-st square number.

1821341884041 is the 674786-th centered octagonal number.

It is an amenable number.

1821341884041 is a deficient number, since it is larger than the sum of its proper divisors (928982896708).

1821341884041 is an frugal number, since it uses more digits than its factorization.

1821341884041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39170 (or 19585 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The spelling of 1821341884041 in words is "one trillion, eight hundred twenty-one billion, three hundred forty-one million, eight hundred eighty-four thousand, forty-one".