415322244225 has 72 divisors (see below), whose sum is σ = 850383131520. Its totient is φ = 189811330560.

The previous prime is 415322244221. The next prime is 415322244229. The reversal of 415322244225 is 522442223514.

415322244225 is a `hidden beast` number, since 4 + 1 + 5 + 3 + 2 + 224 + 422 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (415322244221) and next prime (415322244229).

It is not a de Polignac number, because 415322244225 - 2² = 415322244221 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 415322244225.

It is not an unprimeable number, because it can be changed into a prime (415322244221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6278121 + ... + 6343929.

Almost surely, 2^415322244225 is an apocalyptic number.

415322244225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

415322244225 is an abundant number, since it is smaller than the sum of its proper divisors (435060887295).

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

415322244225 is a wasteful number, since it uses less digits than its factorization.

415322244225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69839 (or 69831 counting only the distinct ones).

The product of its digits is 153600, while the sum is 36.

Adding to 415322244225 its reverse (522442223514), we get a palindrome (937764467739).

The spelling of 415322244225 in words is "four hundred fifteen billion, three hundred twenty-two million, two hundred forty-four thousand, two hundred twenty-five".