414224244225 has 48 divisors (see below), whose sum is σ = 830122136640. Its totient is φ = 200835993600.

The previous prime is 414224244223. The next prime is 414224244253. The reversal of 414224244225 is 522442422414.

414224244225 is a `hidden beast` number, since 4 + 1 + 4 + 2 + 2 + 424 + 4 + 225 = 666.

It is not a de Polignac number, because 414224244225 - 2¹ = 414224244223 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 414224244225.

It is not an unprimeable number, because it can be changed into a prime (414224244223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27886464 + ... + 27901313.

It is an arithmetic number, because the mean of its divisors is an integer number (17294211180).

Almost surely, 2^414224244225 is an apocalyptic number.

414224244225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

414224244225 is an abundant number, since it is smaller than the sum of its proper divisors (415897892415).

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

414224244225 is a wasteful number, since it uses less digits than its factorization.

414224244225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55787807 (or 55787796 counting only the distinct ones).

The product of its digits is 163840, while the sum is 36.

Adding to 414224244225 its reverse (522442422414), we get a palindrome (936666666639).

The spelling of 414224244225 in words is "four hundred fourteen billion, two hundred twenty-four million, two hundred forty-four thousand, two hundred twenty-five".