8141005000 has 80 divisors (see below), whose sum is σ = 19142919180. Its totient is φ = 3244704000.

The previous prime is 8141004983. The next prime is 8141005001. The reversal of 8141005000 is 5001418.

It can be written as a sum of positive squares in 10 ways, for example, as 552156004 + 7588848996 = 23498^2 + 87114^2 .

It is not an unprimeable number, because it can be changed into a prime (8141005001) 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 19 ways as a sum of consecutive naturals, for example, 1462222 + ... + 1467778.

Almost surely, 2^8141005000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8141005000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9571459590).

8141005000 is an abundant number, since it is smaller than the sum of its proper divisors (11001914180).

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

8141005000 is a wasteful number, since it uses less digits than its factorization.

8141005000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5876 (or 5857 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

The square root of 8141005000 is about 90227.5179753937. The cubic root of 8141005000 is about 2011.6820486816.

Adding to 8141005000 its reverse (5001418), we get a palindrome (8146006418).

The spelling of 8141005000 in words is "eight billion, one hundred forty-one million, five thousand".