414231314221 has 8 divisors (see below), whose sum is σ = 415283261688. Its totient is φ = 413180352000.

The previous prime is 414231314191. The next prime is 414231314269. The reversal of 414231314221 is 122413132414.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 48393840196 + 365837474025 = 219986^2 + 604845^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-414231314221 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 414231314221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414231314281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 599301 + ... + 1089781.

It is an arithmetic number, because the mean of its divisors is an integer number (51910407711).

Almost surely, 2^414231314221 is an apocalyptic number.

It is an amenable number.

414231314221 is a deficient number, since it is larger than the sum of its proper divisors (1051947467).

414231314221 is a wasteful number, since it uses less digits than its factorization.

414231314221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492623.

The product of its digits is 4608, while the sum is 28.

Adding to 414231314221 its reverse (122413132414), we get a palindrome (536644446635).

The spelling of 414231314221 in words is "four hundred fourteen billion, two hundred thirty-one million, three hundred fourteen thousand, two hundred twenty-one".