414223221320 has 16 divisors (see below), whose sum is σ = 932002248060. Its totient is φ = 165689288512.

The previous prime is 414223221317. The next prime is 414223221337. The reversal of 414223221320 is 23122322414.

It can be written as a sum of positive squares in 2 ways, for example, as 406577117956 + 7646103364 = 637634^2 + 87442^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 414223221320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5177790227 + ... + 5177790306.

Almost surely, 2^414223221320 is an apocalyptic number.

414223221320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414223221320 is an abundant number, since it is smaller than the sum of its proper divisors (517779026740).

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

414223221320 is a wasteful number, since it uses less digits than its factorization.

414223221320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10355580544 (or 10355580540 counting only the distinct ones).

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

Adding to 414223221320 its reverse (23122322414), we get a palindrome (437345543734).

The spelling of 414223221320 in words is "four hundred fourteen billion, two hundred twenty-three million, two hundred twenty-one thousand, three hundred twenty".