42142752369 has 27 divisors (see below), whose sum is σ = 62431187169. Its totient is φ = 27393497280.

The previous prime is 42142752341. The next prime is 42142752389. The reversal of 42142752369 is 96325724124.

The square root of 42142752369 is 205287.

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

42142752369 is a `hidden beast` number, since 4 + 2 + 14 + 275 + 2 + 369 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10792508769 + 31350243600 = 103887^2 + 177060^2 .

It is not a de Polignac number, because 42142752369 - 2¹³ = 42142744177 is a prime.

It is a super-2 number, since 2×42142752369² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42142752389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 25249467 + ... + 25251135.

Almost surely, 2^42142752369 is an apocalyptic number.

42142752369 is the 205287-th square number.

42142752369 is the 102644-th centered octagonal number.

It is an amenable number.

42142752369 is a deficient number, since it is larger than the sum of its proper divisors (20288434800).

42142752369 is an frugal number, since it uses more digits than its factorization.

42142752369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3426 (or 1713 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The spelling of 42142752369 in words is "forty-two billion, one hundred forty-two million, seven hundred fifty-two thousand, three hundred sixty-nine".