413033034304 has 56 divisors (see below), whose sum is σ = 894358948896. Its totient is φ = 187692672000.

The previous prime is 413033034259. The next prime is 413033034319. The reversal of 413033034304 is 403430330314.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2656639 + ... + 2807809.

It is an arithmetic number, because the mean of its divisors is an integer number (15970695516).

Almost surely, 2^413033034304 is an apocalyptic number.

413033034304 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

413033034304 is an abundant number, since it is smaller than the sum of its proper divisors (481325914592).

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

413033034304 is a wasteful number, since it uses less digits than its factorization.

413033034304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155075 (or 155065 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 28.

Adding to 413033034304 its reverse (403430330314), we get a palindrome (816463364618).

The spelling of 413033034304 in words is "four hundred thirteen billion, thirty-three million, thirty-four thousand, three hundred four".