42184641321 has 21 divisors (see below), whose sum is σ = 63256344301. Its totient is φ = 28119397212.

The previous prime is 42184641307. The next prime is 42184641329. The reversal of 42184641321 is 12314648124.

The square root of 42184641321 is 205389.

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

42184641321 is a `hidden beast` number, since 4 + 2 + 1 + 8 + 4 + 641 + 3 + 2 + 1 = 666.

It is not a de Polignac number, because 42184641321 - 2¹³ = 42184633129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42184641329) 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 20 ways as a sum of consecutive naturals, for example, 5541700 + ... + 5549306.

Almost surely, 2^42184641321 is an apocalyptic number.

42184641321 is the 205389-th square number.

42184641321 is the 102695-th centered octagonal number.

It is an amenable number.

42184641321 is a deficient number, since it is larger than the sum of its proper divisors (21071702980).

42184641321 is an frugal number, since it uses more digits than its factorization.

42184641321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15232 (or 7610 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

Multiplying 42184641321 by its sum of digits (36), we get a square (1518647087556 = 1232334²).

The spelling of 42184641321 in words is "forty-two billion, one hundred eighty-four million, six hundred forty-one thousand, three hundred twenty-one".