42372483642225 has 81 divisors (see below), whose sum is σ = 83422601299947. Its totient is φ = 20543713740000.

The previous prime is 42372483642193. The next prime is 42372483642227. The reversal of 42372483642225 is 52224638427324.

The square root of 42372483642225 is 6509415.

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

42372483642225 is a `hidden beast` number, since 4 + 2 + 37 + 24 + 8 + 364 + 2 + 225 = 666.

It can be written as a sum of positive squares in only one way, i.e., 15254094111201 + 27118389531024 = 3905649^2 + 5207532^2 .

It is not a de Polignac number, because 42372483642225 - 2⁵ = 42372483642193 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (42372483642227) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1074033750 + ... + 1074073200.

Almost surely, 2^{42372483642225} is an apocalyptic number.

42372483642225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42372483642225 is the 6509415-th square number.

42372483642225 is the 3254708-th centered octagonal number.

It is an amenable number.

42372483642225 is a deficient number, since it is larger than the sum of its proper divisors (41050117657722).

42372483642225 is an frugal number, since it uses more digits than its factorization.

42372483642225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78940 (or 39470 counting only the distinct ones).

The product of its digits is 30965760, while the sum is 54.

The spelling of 42372483642225 in words is "forty-two trillion, three hundred seventy-two billion, four hundred eighty-three million, six hundred forty-two thousand, two hundred twenty-five".