414121411220 has 48 divisors (see below), whose sum is σ = 960723590400. Its totient is φ = 148683400320.

The previous prime is 414121411217. The next prime is 414121411247. The reversal of 414121411220 is 22114121414.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 11896355 + ... + 11931114.

It is an arithmetic number, because the mean of its divisors is an integer number (20015074800).

Almost surely, 2^414121411220 is an apocalyptic number.

It is an amenable number.

414121411220 is an abundant number, since it is smaller than the sum of its proper divisors (546602179180).

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

414121411220 is a wasteful number, since it uses less digits than its factorization.

414121411220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23827568 (or 23827566 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

Adding to 414121411220 its reverse (22114121414), we get a palindrome (436235532634).

The spelling of 414121411220 in words is "four hundred fourteen billion, one hundred twenty-one million, four hundred eleven thousand, two hundred twenty".