413431414032411 has 64 divisors (see below), whose sum is σ = 684543498969600. Its totient is φ = 245754894395520.

The previous prime is 413431414032401. The next prime is 413431414032437. The reversal of 413431414032411 is 114230414134314.

413431414032411 is a `hidden beast` number, since 4 + 1 + 3 + 4 + 3 + 1 + 4 + 1 + 403 + 241 + 1 = 666.

It is not a de Polignac number, because 413431414032411 - 2⁶ = 413431414032347 is a prime.

It is not an unprimeable number, because it can be changed into a prime (413431414032401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62511585 + ... + 68808146.

It is an arithmetic number, because the mean of its divisors is an integer number (10695992171400).

Almost surely, 2^{413431414032411} is an apocalyptic number.

413431414032411 is a deficient number, since it is larger than the sum of its proper divisors (271112084937189).

413431414032411 is a wasteful number, since it uses less digits than its factorization.

413431414032411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131319814 (or 131319770 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 413431414032411 its reverse (114230414134314), we get a palindrome (527661828166725).

The spelling of 413431414032411 in words is "four hundred thirteen trillion, four hundred thirty-one billion, four hundred fourteen million, thirty-two thousand, four hundred eleven".