4218480000 has 960 divisors, whose sum is σ = 18558059520. Its totient is φ = 933120000.

The previous prime is 4218479989. The next prime is 4218480017. The reversal of 4218480000 is 848124.

4218480000 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 (960).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 136079985 + ... + 136080015.

It is an arithmetic number, because the mean of its divisors is an integer number (19331312).

Almost surely, 2^4218480000 is an apocalyptic number.

4218480000 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 4218480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9279029760).

4218480000 is an abundant number, since it is smaller than the sum of its proper divisors (14339579520).

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

4218480000 is an frugal number, since it uses more digits than its factorization.

4218480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 4218480000 is about 64949.8267896074. The cubic root of 4218480000 is about 1615.7915458335.

The spelling of 4218480000 in words is "four billion, two hundred eighteen million, four hundred eighty thousand".