414214430420 has 96 divisors (see below), whose sum is σ = 1036763105280. Its totient is φ = 136018206720.

The previous prime is 414214430411. The next prime is 414214430437. The reversal of 414214430420 is 24034412414.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70985 + ... + 912944.

It is an arithmetic number, because the mean of its divisors is an integer number (10799615680).

Almost surely, 2^414214430420 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 414214430420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518381552640).

414214430420 is an abundant number, since it is smaller than the sum of its proper divisors (622548674860).

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

414214430420 is a wasteful number, since it uses less digits than its factorization.

414214430420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984073 (or 984071 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 414214430420 its reverse (24034412414), we get a palindrome (438248842834).

The spelling of 414214430420 in words is "four hundred fourteen billion, two hundred fourteen million, four hundred thirty thousand, four hundred twenty".