8142014200 has 96 divisors (see below), whose sum is σ = 19262271600. Its totient is φ = 3199933440.

The previous prime is 8142014171. The next prime is 8142014203. The reversal of 8142014200 is 24102418.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8142014203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9500172 + ... + 9501028.

Almost surely, 2^8142014200 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 8142014200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9631135800).

8142014200 is an abundant number, since it is smaller than the sum of its proper divisors (11120257400).

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

8142014200 is a wasteful number, since it uses less digits than its factorization.

8142014200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1649 (or 1640 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 8142014200 is about 90233.1103309644. The cubic root of 8142014200 is about 2011.7651713280.

Adding to 8142014200 its reverse (24102418), we get a palindrome (8166116618).

The spelling of 8142014200 in words is "eight billion, one hundred forty-two million, fourteen thousand, two hundred".