4218788880 has 160 divisors (see below), whose sum is σ = 15296342400. Its totient is φ = 1065788928.

The previous prime is 4218788879. The next prime is 4218788909. The reversal of 4218788880 is 888878124.

It is a super-2 number, since 2×4218788880² = 35596359228023308800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 10359 + ... + 92438.

It is an arithmetic number, because the mean of its divisors is an integer number (95602140).

Almost surely, 2^4218788880 is an apocalyptic number.

4218788880 is a gapful number since it is divisible by the number (40) 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 4218788880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7648171200).

4218788880 is an abundant number, since it is smaller than the sum of its proper divisors (11077553520).

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

4218788880 is a wasteful number, since it uses less digits than its factorization.

4218788880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102838 (or 102826 counting only the distinct ones).

The product of its (nonzero) digits is 1835008, while the sum is 54.

The square root of 4218788880 is about 64952.2045815229. The cubic root of 4218788880 is about 1615.8309813262.

The spelling of 4218788880 in words is "four billion, two hundred eighteen million, seven hundred eighty-eight thousand, eight hundred eighty".