4218869760 has 384 divisors, whose sum is σ = 16114775040. Its totient is φ = 921305088.

The previous prime is 4218869747. The next prime is 4218869777. The reversal of 4218869760 is 679688124.

4218869760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

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, 4945494 + ... + 4946346.

It is an arithmetic number, because the mean of its divisors is an integer number (41965560).

Almost surely, 2^4218869760 is an apocalyptic number.

4218869760 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 4218869760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8057387520).

4218869760 is an abundant number, since it is smaller than the sum of its proper divisors (11895905280).

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

4218869760 is a wasteful number, since it uses less digits than its factorization.

4218869760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The square root of 4218869760 is about 64952.8271902001. The cubic root of 4218869760 is about 1615.8413071628.

The spelling of 4218869760 in words is "four billion, two hundred eighteen million, eight hundred sixty-nine thousand, seven hundred sixty".