414041121220 has 24 divisors (see below), whose sum is σ = 872950454208. Its totient is φ = 164956620000.

The previous prime is 414041121211. The next prime is 414041121239. The reversal of 414041121220 is 22121140414.

It is a super-2 number, since 2×414041121220² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 414041121191 and 414041121200.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41234136 + ... + 41244175.

It is an arithmetic number, because the mean of its divisors is an integer number (36372935592).

Almost surely, 2^414041121220 is an apocalyptic number.

It is an amenable number.

414041121220 is an abundant number, since it is smaller than the sum of its proper divisors (458909332988).

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

414041121220 is a wasteful number, since it uses less digits than its factorization.

414041121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82478571 (or 82478569 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 414041121220 its reverse (22121140414), we get a palindrome (436162261634).

The spelling of 414041121220 in words is "four hundred fourteen billion, forty-one million, one hundred twenty-one thousand, two hundred twenty".