413324100220 has 72 divisors (see below), whose sum is σ = 899827647264. Its totient is φ = 159471551232.

The previous prime is 413324100187. The next prime is 413324100227. The reversal of 413324100220 is 22001423314.

It is a junction number, because it is equal to n+sod(n) for n = 413324100191 and 413324100200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413324100227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17868102 + ... + 17891218.

It is an arithmetic number, because the mean of its divisors is an integer number (12497606212).

Almost surely, 2^413324100220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413324100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449913823632).

413324100220 is an abundant number, since it is smaller than the sum of its proper divisors (486503547044).

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

413324100220 is a wasteful number, since it uses less digits than its factorization.

413324100220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24247 (or 24216 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 413324100220 its reverse (22001423314), we get a palindrome (435325523534).

The spelling of 413324100220 in words is "four hundred thirteen billion, three hundred twenty-four million, one hundred thousand, two hundred twenty".