413441300310012 has 144 divisors (see below), whose sum is σ = 1127660832025728. Its totient is φ = 126966277509120.

The previous prime is 413441300310001. The next prime is 413441300310019. The reversal of 413441300310012 is 210013003144314.

413441300310012 is a `hidden beast` number, since 4 + 1 + 3 + 4 + 41 + 300 + 310 + 0 + 1 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413441300310019) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 699239533 + ... + 699830555.

Almost surely, 2^{413441300310012} 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 413441300310012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563830416012864).

413441300310012 is an abundant number, since it is smaller than the sum of its proper divisors (714219531715716).

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

413441300310012 is a wasteful number, since it uses less digits than its factorization.

413441300310012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593940 (or 593935 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 413441300310012 its reverse (210013003144314), we get a palindrome (623454303454326).

The spelling of 413441300310012 in words is "four hundred thirteen trillion, four hundred forty-one billion, three hundred million, three hundred ten thousand, twelve".