42162462225 has 165 divisors, whose sum is σ = 84956652983. Its totient is φ = 20756904480.

The previous prime is 42162462197. The next prime is 42162462233. The reversal of 42162462225 is 52226426124.

The square root of 42162462225 is 205335.

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

42162462225 is a `hidden beast` number, since 4 + 2 + 1 + 6 + 2 + 4 + 622 + 25 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 41367898881 + 794563344 = 203391^2 + 28188^2 .

It is not a de Polignac number, because 42162462225 - 2¹⁵ = 42162429457 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 42162462225.

It is an unprimeable number.

It is a polite number, since it can be written in 164 ways as a sum of consecutive naturals, for example, 3243266319 + ... + 3243266331.

Almost surely, 2^42162462225 is an apocalyptic number.

42162462225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42162462225 is the 205335-th square number.

42162462225 is the 102668-th centered octagonal number.

It is an amenable number.

42162462225 is an abundant number, since it is smaller than the sum of its proper divisors (42794190758).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42162462225 is an frugal number, since it uses more digits than its factorization.

42162462225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 21 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

Multiplying 42162462225 by its sum of digits (36), we get a square (1517848640100 = 1232010²).

Adding to 42162462225 its reverse (52226426124), we get a palindrome (94388888349).

The spelling of 42162462225 in words is "forty-two billion, one hundred sixty-two million, four hundred sixty-two thousand, two hundred twenty-five".