214432041320224 has 144 divisors (see below), whose sum is σ = 531548237332728. Its totient is φ = 84399646076928.

The previous prime is 214432041320071. The next prime is 214432041320269. The reversal of 214432041320224 is 422023140234412.

It can be written as a sum of positive squares in 4 ways, for example, as 214339321070224 + 92720250000 = 14640332^2 + 304500^2 .

It is a super-2 number, since 2×214432041320224² (a number of 29 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 214432041320224.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22683909 + ... + 30715204.

Almost surely, 2^{214432041320224} is an apocalyptic number.

It is an amenable number.

214432041320224 is an abundant number, since it is smaller than the sum of its proper divisors (317116196012504).

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

214432041320224 is a wasteful number, since it uses less digits than its factorization.

214432041320224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53399347 (or 53399332 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

Adding to 214432041320224 its reverse (422023140234412), we get a palindrome (636455181554636).

The spelling of 214432041320224 in words is "two hundred fourteen trillion, four hundred thirty-two billion, forty-one million, three hundred twenty thousand, two hundred twenty-four".