414303012224 has 64 divisors (see below), whose sum is σ = 869511750000. Its totient is φ = 196090232832.

The previous prime is 414303012187. The next prime is 414303012247. The reversal of 414303012224 is 422210303414.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 414303012193 and 414303012202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2969372 + ... + 3105764.

Almost surely, 2^414303012224 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 414303012224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434755875000).

414303012224 is an abundant number, since it is smaller than the sum of its proper divisors (455208737776).

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

414303012224 is a wasteful number, since it uses less digits than its factorization.

414303012224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137675 (or 137663 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 414303012224 its reverse (422210303414), we get a palindrome (836513315638).

The spelling of 414303012224 in words is "four hundred fourteen billion, three hundred three million, twelve thousand, two hundred twenty-four".