413004324321 has 6 divisors (see below), whose sum is σ = 596561801810. Its totient is φ = 275336216208.

The previous prime is 413004324233. The next prime is 413004324353. The reversal of 413004324321 is 123423400314.

413004324321 is a `hidden beast` number, since 4 + 1 + 300 + 4 + 32 + 4 + 321 = 666.

413004324321 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 254969453025 + 158034871296 = 504945^2 + 397536^2 .

It is a de Polignac number, because none of the positive numbers 2^k-413004324321 is a prime.

It is a super-2 number, since 2×413004324321² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (413004323321) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22944684676 + ... + 22944684693.

Almost surely, 2^413004324321 is an apocalyptic number.

It is an amenable number.

413004324321 is a deficient number, since it is larger than the sum of its proper divisors (183557477489).

413004324321 is a wasteful number, since it uses less digits than its factorization.

413004324321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45889369375 (or 45889369372 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 413004324321 its reverse (123423400314), we get a palindrome (536427724635).

The spelling of 413004324321 in words is "four hundred thirteen billion, four million, three hundred twenty-four thousand, three hundred twenty-one".