413043440414031 has 24 divisors (see below), whose sum is σ = 682750214893344. Its totient is φ = 235713033339840.

The previous prime is 413043440414029. The next prime is 413043440414057. The reversal of 413043440414031 is 130414044340314.

413043440414031 is a `hidden beast` number, since 4 + 1 + 3 + 0 + 43 + 440 + 4 + 140 + 31 = 666.

It is not a de Polignac number, because 413043440414031 - 2¹ = 413043440414029 is a prime.

It is a super-2 number, since 2×413043440414031² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413043440414081) 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 23 ways as a sum of consecutive naturals, for example, 4330365180 + ... + 4330460561.

It is an arithmetic number, because the mean of its divisors is an integer number (28447925620556).

Almost surely, 2^{413043440414031} is an apocalyptic number.

413043440414031 is a deficient number, since it is larger than the sum of its proper divisors (269706774479313).

413043440414031 is a wasteful number, since it uses less digits than its factorization.

413043440414031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8660826511 (or 8660826508 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 413043440414031 its reverse (130414044340314), we get a palindrome (543457484754345).

The spelling of 413043440414031 in words is "four hundred thirteen trillion, forty-three billion, four hundred forty million, four hundred fourteen thousand, thirty-one".