42142363641225 has 27 divisors (see below), whose sum is σ = 75481830177429. Its totient is φ = 22475875341600.

The previous prime is 42142363641223. The next prime is 42142363641269. The reversal of 42142363641225 is 52214636324124.

The square root of 42142363641225 is 6491715.

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

42142363641225 is a `hidden beast` number, since 4 + 2 + 1 + 4 + 2 + 3 + 636 + 4 + 1 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3061761544521 + 39080602096704 = 1749789^2 + 6251448^2 .

It is not a de Polignac number, because 42142363641225 - 2¹ = 42142363641223 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (42142363641223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 97159335 + ... + 97592115.

Almost surely, 2^{42142363641225} is an apocalyptic number.

42142363641225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42142363641225 is the 6491715-th square number.

42142363641225 is the 3245858-th centered octagonal number.

It is an amenable number.

42142363641225 is a deficient number, since it is larger than the sum of its proper divisors (33339466536204).

42142363641225 is an frugal number, since it uses more digits than its factorization.

42142363641225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865578 (or 432789 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 45.

Adding to 42142363641225 its reverse (52214636324124), we get a palindrome (94356999965349).

The spelling of 42142363641225 in words is "forty-two trillion, one hundred forty-two billion, three hundred sixty-three million, six hundred forty-one thousand, two hundred twenty-five".