8214171240 has 256 divisors, whose sum is σ = 28740096000. Its totient is φ = 1857996800.

The previous prime is 8214171233. The next prime is 8214171313. The reversal of 8214171240 is 421714128.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 8214171198 and 8214171207.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1241461 + ... + 1248059.

It is an arithmetic number, because the mean of its divisors is an integer number (112266000).

Almost surely, 2^8214171240 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 8214171240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14370048000).

8214171240 is an abundant number, since it is smaller than the sum of its proper divisors (20525924760).

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

8214171240 is a wasteful number, since it uses less digits than its factorization.

8214171240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6688 (or 6684 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 8214171240 is about 90632.0651866656. The cubic root of 8214171240 is about 2017.6906621971.

Adding to 8214171240 its reverse (421714128), we get a palindrome (8635885368).

The spelling of 8214171240 in words is "eight billion, two hundred fourteen million, one hundred seventy-one thousand, two hundred forty".