413004313442431 has 32 divisors (see below), whose sum is σ = 456126726182400. Its totient is φ = 372405490853760.

The previous prime is 413004313442429. The next prime is 413004313442443. The reversal of 413004313442431 is 134244313400314.

It is a cyclic number.

It is not a de Polignac number, because 413004313442431 - 2¹ = 413004313442429 is a prime.

It is a super-2 number, since 2×413004313442431² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413004313442491) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 298311165 + ... + 299692441.

It is an arithmetic number, because the mean of its divisors is an integer number (14253960193200).

Almost surely, 2^{413004313442431} is an apocalyptic number.

413004313442431 is a deficient number, since it is larger than the sum of its proper divisors (43122412739969).

413004313442431 is a wasteful number, since it uses less digits than its factorization.

413004313442431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1389039.

The product of its (nonzero) digits is 165888, while the sum is 37.

Adding to 413004313442431 its reverse (134244313400314), we get a palindrome (547248626842745).

The spelling of 413004313442431 in words is "four hundred thirteen trillion, four billion, three hundred thirteen million, four hundred forty-two thousand, four hundred thirty-one".