4417413300225 has 72 divisors (see below), whose sum is σ = 7986586956920. Its totient is φ = 2333777909760.

The previous prime is 4417413300199. The next prime is 4417413300229. The reversal of 4417413300225 is 5220033147144.

4417413300225 is a `hidden beast` number, since 4 + 4 + 17 + 413 + 3 + 0 + 0 + 225 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 2929735452609 + 1487677847616 = 1711647^2 + 1219704^2 .

It is not a de Polignac number, because 4417413300225 - 2¹² = 4417413296129 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4417413300225.

It is not an unprimeable number, because it can be changed into a prime (4417413300229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 114193587 + ... + 114232263.

Almost surely, 2^{4417413300225} is an apocalyptic number.

4417413300225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4417413300225 is a deficient number, since it is larger than the sum of its proper divisors (3569173656695).

4417413300225 is a wasteful number, since it uses less digits than its factorization.

4417413300225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43459 (or 43451 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Adding to 4417413300225 its reverse (5220033147144), we get a palindrome (9637446447369).

The spelling of 4417413300225 in words is "four trillion, four hundred seventeen billion, four hundred thirteen million, three hundred thousand, two hundred twenty-five".