4218570720 has 960 divisors, whose sum is σ = 18953827200. Its totient is φ = 877879296.

The previous prime is 4218570683. The next prime is 4218570731. The reversal of 4218570720 is 270758124.

4218570720 is a `hidden beast` number, since 4 + 2 + 18 + 570 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 57788604 + ... + 57788676.

It is an arithmetic number, because the mean of its divisors is an integer number (19743570).

Almost surely, 2^4218570720 is an apocalyptic number.

4218570720 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 4218570720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9476913600).

4218570720 is an abundant number, since it is smaller than the sum of its proper divisors (14735256480).

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

4218570720 is a wasteful number, since it uses less digits than its factorization.

4218570720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 4218570720 is about 64950.5251710870. The cubic root of 4218570720 is about 1615.8031284855.

The spelling of 4218570720 in words is "four billion, two hundred eighteen million, five hundred seventy thousand, seven hundred twenty".