8414143360 has 256 divisors, whose sum is σ = 24647639040. Its totient is φ = 2683625472.

The previous prime is 8414143357. The next prime is 8414143453. The reversal of 8414143360 is 633414148.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3811377 + ... + 3813583.

It is an arithmetic number, because the mean of its divisors is an integer number (96279840).

Almost surely, 2^8414143360 is an apocalyptic number.

8414143360 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 8414143360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12323819520).

8414143360 is an abundant number, since it is smaller than the sum of its proper divisors (16233495680).

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

8414143360 is a wasteful number, since it uses less digits than its factorization.

8414143360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2293 (or 2281 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 8414143360 is about 91728.6398024085. The cubic root of 8414143360 is about 2033.9329675250.

The spelling of 8414143360 in words is "eight billion, four hundred fourteen million, one hundred forty-three thousand, three hundred sixty".