42227240066001 has 27 divisors (see below), whose sum is σ = 61087262862171. Its totient is φ = 28108929846384.

The previous prime is 42227240065981. The next prime is 42227240066027. The reversal of 42227240066001 is 10066004272224.

The square root of 42227240066001 is 6498249.

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

42227240066001 is a `hidden beast` number, since 4 + 2 + 2 + 2 + 7 + 2 + 40 + 0 + 6 + 600 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7677249516225 + 34549990549776 = 2770785^2 + 5877924^2 .

It is not a de Polignac number, because 42227240066001 - 2¹⁹ = 42227239541713 is a prime.

It is a super-2 number, since 2×42227240066001² (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (42227240066101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17915671315 + ... + 17915673671.

Almost surely, 2^{42227240066001} is an apocalyptic number.

42227240066001 is the 6498249-th square number.

42227240066001 is the 3249125-th centered octagonal number.

It is an amenable number.

42227240066001 is a deficient number, since it is larger than the sum of its proper divisors (18860022796170).

42227240066001 is an frugal number, since it uses more digits than its factorization.

42227240066001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6558 (or 3279 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 42227240066001 in words is "forty-two trillion, two hundred twenty-seven billion, two hundred forty million, sixty-six thousand, one".