413442010020 has 96 divisors (see below), whose sum is σ = 1247495155200. Its totient is φ = 101704343040.

The previous prime is 413442010013. The next prime is 413442010021. The reversal of 413442010020 is 20010244314.

It is not an unprimeable number, because it can be changed into a prime (413442010021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1037125 + ... + 1379315.

It is an arithmetic number, because the mean of its divisors is an integer number (12994741200).

Almost surely, 2^413442010020 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 413442010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623747577600).

413442010020 is an abundant number, since it is smaller than the sum of its proper divisors (834053145180).

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

413442010020 is a wasteful number, since it uses less digits than its factorization.

413442010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343765 (or 343763 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 413442010020 its reverse (20010244314), we get a palindrome (433452254334).

The spelling of 413442010020 in words is "four hundred thirteen billion, four hundred forty-two million, ten thousand, twenty".