8134413210 has 192 divisors, whose sum is σ = 26642214144. Its totient is φ = 1672704000.

The previous prime is 8134413191. The next prime is 8134413229. The reversal of 8134413210 is 123144318.

8134413210 is a `hidden beast` number, since 8 + 1 + 3 + 441 + 3 + 210 = 666.

It is an interprime number because it is at equal distance from previous prime (8134413191) and next prime (8134413229).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 666160 + ... + 678260.

It is an arithmetic number, because the mean of its divisors is an integer number (138761532).

Almost surely, 2^8134413210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8134413210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13321107072).

8134413210 is an abundant number, since it is smaller than the sum of its proper divisors (18507800934).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8134413210 is a wasteful number, since it uses less digits than its factorization.

8134413210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12229 (or 12226 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 8134413210 is about 90190.9818662598. The cubic root of 8134413210 is about 2011.1389475836.

Adding to 8134413210 its reverse (123144318), we get a palindrome (8257557528).

The spelling of 8134413210 in words is "eight billion, one hundred thirty-four million, four hundred thirteen thousand, two hundred ten".