4268853120 has 512 divisors, whose sum is σ = 16665984000. Its totient is φ = 907739136.

The previous prime is 4268853053. The next prime is 4268853151. The reversal of 4268853120 is 213588624.

4268853120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×4268853120³ (a number of 30 digits) contains 333 as substring.

It is a zygodrome in base 2.

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, 18641166 + ... + 18641394.

It is an arithmetic number, because the mean of its divisors is an integer number (32550750).

Almost surely, 2^4268853120 is an apocalyptic number.

4268853120 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 4268853120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8332992000).

4268853120 is an abundant number, since it is smaller than the sum of its proper divisors (12397130880).

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

4268853120 is a wasteful number, since it uses less digits than its factorization.

4268853120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 4268853120 is about 65336.4608775223. The cubic root of 4268853120 is about 1622.1975359003.

The spelling of 4268853120 in words is "four billion, two hundred sixty-eight million, eight hundred fifty-three thousand, one hundred twenty".