413031414321 has 6 divisors (see below), whose sum is σ = 596600931810. Its totient is φ = 275354276208.

The previous prime is 413031414319. The next prime is 413031414343. The reversal of 413031414321 is 123414130314.

413031414321 is a `hidden beast` number, since 4 + 13 + 0 + 314 + 14 + 321 = 666.

It can be written as a sum of positive squares in only one way, i.e., 352533125025 + 60498289296 = 593745^2 + 245964^2 .

It is not a de Polignac number, because 413031414321 - 2¹ = 413031414319 is a prime.

It is not an unprimeable number, because it can be changed into a prime (413031414311) 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 5 ways as a sum of consecutive naturals, for example, 22946189676 + ... + 22946189693.

It is an arithmetic number, because the mean of its divisors is an integer number (99433488635).

Almost surely, 2^413031414321 is an apocalyptic number.

It is an amenable number.

413031414321 is a deficient number, since it is larger than the sum of its proper divisors (183569517489).

413031414321 is a wasteful number, since it uses less digits than its factorization.

413031414321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45892379375 (or 45892379372 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 413031414321 its reverse (123414130314), we get a palindrome (536445544635).

The spelling of 413031414321 in words is "four hundred thirteen billion, thirty-one million, four hundred fourteen thousand, three hundred twenty-one".