414244114420 has 12 divisors (see below), whose sum is σ = 869912640324. Its totient is φ = 165697645760.

The previous prime is 414244114373. The next prime is 414244114429. The reversal of 414244114420 is 24411442414.

It can be written as a sum of positive squares in 2 ways, for example, as 202899797136 + 211344317284 = 450444^2 + 459722^2 .

It is a super-2 number, since 2×414244114420² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414244114429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10356102841 + ... + 10356102880.

It is an arithmetic number, because the mean of its divisors is an integer number (72492720027).

Almost surely, 2^414244114420 is an apocalyptic number.

It is an amenable number.

414244114420 is an abundant number, since it is smaller than the sum of its proper divisors (455668525904).

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

414244114420 is a wasteful number, since it uses less digits than its factorization.

414244114420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20712205730 (or 20712205728 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 31.

Adding to 414244114420 its reverse (24411442414), we get a palindrome (438655556834).

The spelling of 414244114420 in words is "four hundred fourteen billion, two hundred forty-four million, one hundred fourteen thousand, four hundred twenty".