414224244224 has 160 divisors (see below), whose sum is σ = 967403796480. Its totient is φ = 173494960128.

The previous prime is 414224244223. The next prime is 414224244253. The reversal of 414224244224 is 422442422414.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 156486869 + ... + 156489515.

It is an arithmetic number, because the mean of its divisors is an integer number (6046273728).

Almost surely, 2^414224244224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414224244224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483701898240).

414224244224 is an abundant number, since it is smaller than the sum of its proper divisors (553179552256).

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

414224244224 is an equidigital number, since it uses as much as digits as its factorization.

414224244224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3648 (or 3632 counting only the distinct ones).

The product of its digits is 131072, while the sum is 35.

Adding to 414224244224 its reverse (422442422414), we get a palindrome (836666666638).

The spelling of 414224244224 in words is "four hundred fourteen billion, two hundred twenty-four million, two hundred forty-four thousand, two hundred twenty-four".