8714814240 has 384 divisors, whose sum is σ = 31770869760. Its totient is φ = 1987891200.

The previous prime is 8714814223. The next prime is 8714814263. The reversal of 8714814240 is 424184178.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6055441 + ... + 6056879.

It is an arithmetic number, because the mean of its divisors is an integer number (82736640).

Almost surely, 2^8714814240 is an apocalyptic number.

8714814240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8714814240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15885434880).

8714814240 is an abundant number, since it is smaller than the sum of its proper divisors (23056055520).

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

8714814240 is a wasteful number, since it uses less digits than its factorization.

8714814240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1536 (or 1528 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

The square root of 8714814240 is about 93353.1694159336. The cubic root of 8714814240 is about 2057.8768334388.

The spelling of 8714814240 in words is "eight billion, seven hundred fourteen million, eight hundred fourteen thousand, two hundred forty".