4218255360 has 768 divisors, whose sum is σ = 17454528000. Its totient is φ = 955514880.

The previous prime is 4218255359. The next prime is 4218255383. The reversal of 4218255360 is 635528124.

4218255360 is a `hidden beast` number, since 4 + 21 + 82 + 553 + 6 + 0 = 666.

4218255360 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 (768).

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 63 ways as a sum of consecutive naturals, for example, 57784284 + ... + 57784356.

It is an arithmetic number, because the mean of its divisors is an integer number (22727250).

Almost surely, 2^4218255360 is an apocalyptic number.

4218255360 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 4218255360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8727264000).

4218255360 is an abundant number, since it is smaller than the sum of its proper divisors (13236272640).

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

4218255360 is a wasteful number, since it uses less digits than its factorization.

4218255360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 4218255360 is about 64948.0974317185. The cubic root of 4218255360 is about 1615.7628642660.

The spelling of 4218255360 in words is "four billion, two hundred eighteen million, two hundred fifty-five thousand, three hundred sixty".