413300400413 has 8 divisors (see below), whose sum is σ = 415919702016. Its totient is φ = 410688325600.

The previous prime is 413300400397. The next prime is 413300400511. The reversal of 413300400413 is 314004003314.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 413300400413 - 2⁴ = 413300400397 is a prime.

It is a super-2 number, since 2×413300400413² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413300400013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1691933 + ... + 1920738.

It is an arithmetic number, because the mean of its divisors is an integer number (51989962752).

Almost surely, 2^413300400413 is an apocalyptic number.

It is an amenable number.

413300400413 is a deficient number, since it is larger than the sum of its proper divisors (2619301603).

413300400413 is a wasteful number, since it uses less digits than its factorization.

413300400413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3613395.

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 413300400413 its reverse (314004003314), we get a palindrome (727304403727).

The spelling of 413300400413 in words is "four hundred thirteen billion, three hundred million, four hundred thousand, four hundred thirteen".