42189570801 has 27 divisors (see below), whose sum is σ = 70897207563. Its totient is φ = 24105861360.

The previous prime is 42189570791. The next prime is 42189570811. The reversal of 42189570801 is 10807598124.

The square root of 42189570801 is 205401.

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

42189570801 is a `hidden beast` number, since 421 + 89 + 5 + 70 + 80 + 1 = 666.

42189570801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42189570791) and next prime (42189570811).

It can be written as a sum of positive squares in only one way, i.e., 18170770401 + 24018800400 = 134799^2 + 154980^2 .

It is not a de Polignac number, because 42189570801 - 2⁷ = 42189570673 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (42189570811) 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, 4308531 + ... + 4318311.

Almost surely, 2^42189570801 is an apocalyptic number.

42189570801 is the 205401-st square number.

42189570801 is the 102701-st centered octagonal number.

It is an amenable number.

42189570801 is a deficient number, since it is larger than the sum of its proper divisors (28707636762).

42189570801 is an frugal number, since it uses more digits than its factorization.

42189570801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19582 (or 9791 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 42189570801 in words is "forty-two billion, one hundred eighty-nine million, five hundred seventy thousand, eight hundred one".