413340033330 has 192 divisors, whose sum is σ = 1241407005696. Its totient is φ = 93467088000.

The previous prime is 413340033289. The next prime is 413340033373. The reversal of 413340033330 is 33330043314.

It is a junction number, because it is equal to n+sod(n) for n = 413340033294 and 413340033303.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27309865 + ... + 27324995.

It is an arithmetic number, because the mean of its divisors is an integer number (6465661488).

Almost surely, 2^413340033330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413340033330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620703502848).

413340033330 is an abundant number, since it is smaller than the sum of its proper divisors (828066972366).

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

413340033330 is a wasteful number, since it uses less digits than its factorization.

413340033330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15613 (or 15610 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 413340033330 its reverse (33330043314), we get a palindrome (446670076644).

The spelling of 413340033330 in words is "four hundred thirteen billion, three hundred forty million, thirty-three thousand, three hundred thirty".