414344204224 has 56 divisors (see below), whose sum is σ = 868780218240. Its totient is φ = 195521889024.

The previous prime is 414344204149. The next prime is 414344204233. The reversal of 414344204224 is 422402443414.

It is a super-2 number, since 2×414344204224² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 414344204224.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 327994 + ... + 967609.

Almost surely, 2^414344204224 is an apocalyptic number.

It is an amenable number.

414344204224 is an abundant number, since it is smaller than the sum of its proper divisors (454436014016).

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

414344204224 is a wasteful number, since it uses less digits than its factorization.

414344204224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1295897 (or 1295887 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 34.

Adding to 414344204224 its reverse (422402443414), we get a palindrome (836746647638).

The spelling of 414344204224 in words is "four hundred fourteen billion, three hundred forty-four million, two hundred four thousand, two hundred twenty-four".