42073804161 has 63 divisors (see below), whose sum is σ = 64586398513. Its totient is φ = 27395693640.

The previous prime is 42073804151. The next prime is 42073804183. The reversal of 42073804161 is 16140837024.

The square root of 42073804161 is 205119.

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

42073804161 is a `hidden beast` number, since 4 + 207 + 38 + 0 + 416 + 1 = 666.

42073804161 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42073804161 - 2¹³ = 42073795969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42073804141) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 393213070 + ... + 393213176.

Almost surely, 2^42073804161 is an apocalyptic number.

42073804161 is the 205119-th square number.

42073804161 is the 102560-th centered octagonal number.

It is an amenable number.

42073804161 is a deficient number, since it is larger than the sum of its proper divisors (22512594352).

42073804161 is an frugal number, since it uses more digits than its factorization.

42073804161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Multiplying 42073804161 by its sum of digits (36), we get a square (1514656949796 = 1230714²).

The spelling of 42073804161 in words is "forty-two billion, seventy-three million, eight hundred four thousand, one hundred sixty-one".