414012332220020 has 12 divisors (see below), whose sum is σ = 869425897662084. Its totient is φ = 165604932888000.

The previous prime is 414012332220001. The next prime is 414012332220041. The reversal of 414012332220020 is 20022233210414.

It can be written as a sum of positive squares in 2 ways, for example, as 51178256594404 + 362834075625616 = 7153898^2 + 19048204^2 .

It is a super-2 number, since 2×414012332220020² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10350308305481 + ... + 10350308305520.

It is an arithmetic number, because the mean of its divisors is an integer number (72452158138507).

Almost surely, 2^{414012332220020} is an apocalyptic number.

It is an amenable number.

414012332220020 is an abundant number, since it is smaller than the sum of its proper divisors (455413565442064).

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

414012332220020 is a wasteful number, since it uses less digits than its factorization.

414012332220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20700616611010 (or 20700616611008 counting only the distinct ones).

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

Adding to 414012332220020 its reverse (20022233210414), we get a palindrome (434034565430434).

The spelling of 414012332220020 in words is "four hundred fourteen trillion, twelve billion, three hundred thirty-two million, two hundred twenty thousand, twenty".