413001134340 has 192 divisors, whose sum is σ = 1211540198400. Its totient is φ = 105022255104.

The previous prime is 413001134321. The next prime is 413001134387. The reversal of 413001134340 is 43431100314.

It is a super-2 number, since 2×413001134340² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 413001134340.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24018466 + ... + 24035654.

It is an arithmetic number, because the mean of its divisors is an integer number (6310105200).

Almost surely, 2^413001134340 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 413001134340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605770099200).

413001134340 is an abundant number, since it is smaller than the sum of its proper divisors (798539064060).

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

413001134340 is a wasteful number, since it uses less digits than its factorization.

413001134340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17454 (or 17452 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 413001134340 its reverse (43431100314), we get a palindrome (456432234654).

The spelling of 413001134340 in words is "four hundred thirteen billion, one million, one hundred thirty-four thousand, three hundred forty".