4286218720 has 192 divisors, whose sum is σ = 12241539072. Its totient is φ = 1387008000.

The previous prime is 4286218711. The next prime is 4286218747. The reversal of 4286218720 is 278126824.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 1422015 + ... + 1425025.

It is an arithmetic number, because the mean of its divisors is an integer number (63758016).

Almost surely, 2^4286218720 is an apocalyptic number.

4286218720 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 4286218720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6120769536).

4286218720 is an abundant number, since it is smaller than the sum of its proper divisors (7955320352).

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

4286218720 is a wasteful number, since it uses less digits than its factorization.

4286218720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3105 (or 3097 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 40.

The square root of 4286218720 is about 65469.2196379337. The cubic root of 4286218720 is about 1624.3942477520.

It can be divided in two parts, 4 and 286218720, that added together give a square (286218724 = 16918²).

The spelling of 4286218720 in words is "four billion, two hundred eighty-six million, two hundred eighteen thousand, seven hundred twenty".