413312034341304 has 128 divisors (see below), whose sum is σ = 1389284149132800. Its totient is φ = 111142731916800.

The previous prime is 413312034341233. The next prime is 413312034341317. The reversal of 413312034341304 is 403143430213314.

413312034341304 is a `hidden beast` number, since 4 + 1 + 3 + 3 + 1 + 2 + 0 + 3 + 4 + 341 + 304 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8039813122 + ... + 8039864529.

It is an arithmetic number, because the mean of its divisors is an integer number (10853782415100).

Almost surely, 2^{413312034341304} is an apocalyptic number.

It is an amenable number.

413312034341304 is an abundant number, since it is smaller than the sum of its proper divisors (975972114791496).

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

413312034341304 is a wasteful number, since it uses less digits than its factorization.

413312034341304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16079677690 (or 16079677680 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 413312034341304 its reverse (403143430213314), we get a palindrome (816455464554618).

The spelling of 413312034341304 in words is "four hundred thirteen trillion, three hundred twelve billion, thirty-four million, three hundred forty-one thousand, three hundred four".