4218077808 has 160 divisors (see below), whose sum is σ = 14651205120. Its totient is φ = 1134259200.

The previous prime is 4218077789. The next prime is 4218077833. The reversal of 4218077808 is 8087708124.

4218077808 is a `hidden beast` number, since 421 + 80 + 77 + 80 + 8 = 666.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 10383 + ... + 92433.

It is an arithmetic number, because the mean of its divisors is an integer number (91570032).

Almost surely, 2^4218077808 is an apocalyptic number.

4218077808 is a gapful number since it is divisible by the number (48) 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 4218077808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7325602560).

4218077808 is an abundant number, since it is smaller than the sum of its proper divisors (10433127312).

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

4218077808 is a wasteful number, since it uses less digits than its factorization.

4218077808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82092 (or 82080 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 45.

The square root of 4218077808 is about 64946.7305412674. The cubic root of 4218077808 is about 1615.7401940759.

The spelling of 4218077808 in words is "four billion, two hundred eighteen million, seventy-seven thousand, eight hundred eight".