413441044340 has 96 divisors (see below), whose sum is σ = 910802382336. Its totient is φ = 157345210880.

The previous prime is 413441044337. The next prime is 413441044349. The reversal of 413441044340 is 43440144314.

It is a junction number, because it is equal to n+sod(n) for n = 413441044297 and 413441044306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413441044349) 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, 93515330 + ... + 93519750.

It is an arithmetic number, because the mean of its divisors is an integer number (9487524816).

Almost surely, 2^413441044340 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 413441044340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455401191168).

413441044340 is an abundant number, since it is smaller than the sum of its proper divisors (497361337996).

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

413441044340 is a wasteful number, since it uses less digits than its factorization.

413441044340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5489 (or 5487 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 413441044340 its reverse (43440144314), we get a palindrome (456881188654).

The spelling of 413441044340 in words is "four hundred thirteen billion, four hundred forty-one million, forty-four thousand, three hundred forty".