414133222022312 has 64 divisors (see below), whose sum is σ = 840921734998800. Its totient is φ = 190066316728320.

The previous prime is 414133222022309. The next prime is 414133222022369. The reversal of 414133222022312 is 213220222331414.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 20660533888996 + 393472688133316 = 4545386^2 + 19836146^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223024514 + ... + 224873742.

Almost surely, 2^{414133222022312} 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 414133222022312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420460867499400).

414133222022312 is an abundant number, since it is smaller than the sum of its proper divisors (426788512976488).

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

414133222022312 is a wasteful number, since it uses less digits than its factorization.

414133222022312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1861326 (or 1861322 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 414133222022312 its reverse (213220222331414), we get a palindrome (627353444353726).

The spelling of 414133222022312 in words is "four hundred fourteen trillion, one hundred thirty-three billion, two hundred twenty-two million, twenty-two thousand, three hundred twelve".