413344514504321 has 16 divisors (see below), whose sum is σ = 420375651252480. Its totient is φ = 406373038853760.

The previous prime is 413344514504303. The next prime is 413344514504347. The reversal of 413344514504321 is 123405415443314.

It is a cyclic number.

It is not a de Polignac number, because 413344514504321 - 2¹⁴ = 413344514487937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (413344514504351) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7820345 + ... + 29796758.

It is an arithmetic number, because the mean of its divisors is an integer number (26273478203280).

Almost surely, 2^{413344514504321} is an apocalyptic number.

It is an amenable number.

413344514504321 is a deficient number, since it is larger than the sum of its proper divisors (7031136748159).

413344514504321 is a wasteful number, since it uses less digits than its factorization.

413344514504321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37617896.

The product of its (nonzero) digits is 1382400, while the sum is 44.

Adding to 413344514504321 its reverse (123405415443314), we get a palindrome (536749929947635).

The spelling of 413344514504321 in words is "four hundred thirteen trillion, three hundred forty-four billion, five hundred fourteen million, five hundred four thousand, three hundred twenty-one".