21742586041 has 8 divisors (see below), whose sum is σ = 23721385824. Its totient is φ = 19764153120.

The previous prime is 21742586023. The next prime is 21742586051. The reversal of 21742586041 is 14068524712.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-21742586041 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21742585985 and 21742586003.

It is not an unprimeable number, because it can be changed into a prime (21742586051) 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 7 ways as a sum of consecutive naturals, for example, 40506 + ... + 212428.

It is an arithmetic number, because the mean of its divisors is an integer number (2965173228).

Almost surely, 2^21742586041 is an apocalyptic number.

It is an amenable number.

21742586041 is a deficient number, since it is larger than the sum of its proper divisors (1978799783).

21742586041 is a wasteful number, since it uses less digits than its factorization.

21742586041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183431.

The product of its (nonzero) digits is 107520, while the sum is 40.

The spelling of 21742586041 in words is "twenty-one billion, seven hundred forty-two million, five hundred eighty-six thousand, forty-one".