413043132340 has 48 divisors (see below), whose sum is σ = 889196026320. Its totient is φ = 161069726720.

The previous prime is 413043132287. The next prime is 413043132379. The reversal of 413043132340 is 43231340314.

It can be written as a sum of positive squares in 8 ways, for example, as 9254055204 + 403789077136 = 96198^2 + 635444^2 .

It is a junction number, because it is equal to n+sod(n) for n = 413043132299 and 413043132308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 942426 + ... + 1309294.

It is an arithmetic number, because the mean of its divisors is an integer number (18524917215).

Almost surely, 2^413043132340 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 413043132340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444598013160).

413043132340 is an abundant number, since it is smaller than the sum of its proper divisors (476152893980).

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

413043132340 is a wasteful number, since it uses less digits than its factorization.

413043132340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368292 (or 368290 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 413043132340 its reverse (43231340314), we get a palindrome (456274472654).

The spelling of 413043132340 in words is "four hundred thirteen billion, forty-three million, one hundred thirty-two thousand, three hundred forty".