413040004324013 has 16 divisors (see below), whose sum is σ = 477818303814720. Its totient is φ = 352866940204800.

The previous prime is 413040004323967. The next prime is 413040004324093. The reversal of 413040004324013 is 310423400040314.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 413040004324013 - 2¹⁶ = 413040004258477 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413040004324093) 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, 1675726598 + ... + 1675973063.

It is an arithmetic number, because the mean of its divisors is an integer number (29863643988420).

Almost surely, 2^{413040004324013} is an apocalyptic number.

It is an amenable number.

413040004324013 is a deficient number, since it is larger than the sum of its proper divisors (64778299490707).

413040004324013 is a wasteful number, since it uses less digits than its factorization.

413040004324013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3351700348.

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 413040004324013 its reverse (310423400040314), we get a palindrome (723463404364327).

The spelling of 413040004324013 in words is "four hundred thirteen trillion, forty billion, four million, three hundred twenty-four thousand, thirteen".