414332410220 has 24 divisors (see below), whose sum is σ = 898165742208. Its totient is φ = 160386739200.

The previous prime is 414332410133. The next prime is 414332410241. The reversal of 414332410220 is 22014233414.

It is a super-3 number, since 3×414332410220³ (a number of 36 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 414332410220.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 334138421 + ... + 334139660.

It is an arithmetic number, because the mean of its divisors is an integer number (37423572592).

Almost surely, 2^414332410220 is an apocalyptic number.

It is an amenable number.

414332410220 is an abundant number, since it is smaller than the sum of its proper divisors (483833331988).

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

414332410220 is a wasteful number, since it uses less digits than its factorization.

414332410220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668278121 (or 668278119 counting only the distinct ones).

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

Adding to 414332410220 its reverse (22014233414), we get a palindrome (436346643634).

The spelling of 414332410220 in words is "four hundred fourteen billion, three hundred thirty-two million, four hundred ten thousand, two hundred twenty".