413100044224 has 168 divisors, whose sum is σ = 982660915040. Its totient is φ = 168774008832.

The previous prime is 413100044213. The next prime is 413100044243. The reversal of 413100044224 is 422440001314.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74175712 + ... + 74181280.

Almost surely, 2^413100044224 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 413100044224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491330457520).

413100044224 is an abundant number, since it is smaller than the sum of its proper divisors (569560870816).

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

413100044224 is a wasteful number, since it uses less digits than its factorization.

413100044224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5947 (or 5914 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 413100044224 its reverse (422440001314), we get a palindrome (835540045538).

The spelling of 413100044224 in words is "four hundred thirteen billion, one hundred million, forty-four thousand, two hundred twenty-four".