413041244210401 has 8 divisors (see below), whose sum is σ = 434933510647680. Its totient is φ = 391164303131568.

The previous prime is 413041244210389. The next prime is 413041244210417. The reversal of 413041244210401 is 104012442140314.

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 413041244210401 - 2⁴⁷ = 272303755855073 is a prime.

It is a super-3 number, since 3×413041244210401³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (413041244210431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3831284281 + ... + 3831392086.

It is an arithmetic number, because the mean of its divisors is an integer number (54366688830960).

Almost surely, 2^{413041244210401} is an apocalyptic number.

It is an amenable number.

413041244210401 is a deficient number, since it is larger than the sum of its proper divisors (21892266437279).

413041244210401 is a wasteful number, since it uses less digits than its factorization.

413041244210401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7662679223.

The product of its (nonzero) digits is 12288, while the sum is 31.

Adding to 413041244210401 its reverse (104012442140314), we get a palindrome (517053686350715).

The spelling of 413041244210401 in words is "four hundred thirteen trillion, forty-one billion, two hundred forty-four million, two hundred ten thousand, four hundred one".