413344514504322 has 24 divisors (see below), whose sum is σ = 900756543175164. Its totient is φ = 136985079950304.

The previous prime is 413344514504303. The next prime is 413344514504347. The reversal of 413344514504322 is 223405415443314.

It is a happy number.

413344514504322 is a `hidden beast` number, since 4 + 1 + 3 + 3 + 44 + 514 + 50 + 43 + 2 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 342925916391081 + 70418598113241 = 18518259^2 + 8391579^2 .

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 11 ways as a sum of consecutive naturals, for example, 66368737173 + ... + 66368743400.

Almost surely, 2^{413344514504322} is an apocalyptic number.

413344514504322 is an abundant number, since it is smaller than the sum of its proper divisors (487412028670842).

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

413344514504322 is a wasteful number, since it uses less digits than its factorization.

413344514504322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132737480754 (or 132737480751 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 45.

Adding to 413344514504322 its reverse (223405415443314), we get a palindrome (636749929947636).

The spelling of 413344514504322 in words is "four hundred thirteen trillion, three hundred forty-four billion, five hundred fourteen million, five hundred four thousand, three hundred twenty-two".