8004413241 has 48 divisors (see below), whose sum is σ = 13517262720. Its totient is φ = 4514780160.

The previous prime is 8004413237. The next prime is 8004413251. The reversal of 8004413241 is 1423144008.

8004413241 is a `hidden beast` number, since 8 + 0 + 0 + 4 + 413 + 241 = 666.

It is not a de Polignac number, because 8004413241 - 2² = 8004413237 is a prime.

It is a super-2 number, since 2×8004413241² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8004413251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36745 + ... + 131753.

It is an arithmetic number, because the mean of its divisors is an integer number (281609640).

Almost surely, 2^8004413241 is an apocalyptic number.

It is an amenable number.

8004413241 is a deficient number, since it is larger than the sum of its proper divisors (5512849479).

8004413241 is a wasteful number, since it uses less digits than its factorization.

8004413241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95086 (or 95083 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 8004413241 is about 89467.3864656837. The cubic root of 8004413241 is about 2000.3677024766.

Adding to 8004413241 its reverse (1423144008), we get a palindrome (9427557249).

The spelling of 8004413241 in words is "eight billion, four million, four hundred thirteen thousand, two hundred forty-one".