4264028160 has 384 divisors, whose sum is σ = 15850598400. Its totient is φ = 958464000.

The previous prime is 4264028143. The next prime is 4264028189. The reversal of 4264028160 is 618204624.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×4264028160² = 36363872298545971200, which contains 22 as substring.

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, 16988035 + ... + 16988285.

It is an arithmetic number, because the mean of its divisors is an integer number (41277600).

Almost surely, 2^4264028160 is an apocalyptic number.

4264028160 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 4264028160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7925299200).

4264028160 is an abundant number, since it is smaller than the sum of its proper divisors (11586570240).

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

4264028160 is a wasteful number, since it uses less digits than its factorization.

4264028160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 4264028160 is about 65299.5264913920. The cubic root of 4264028160 is about 1621.5861313266.

The spelling of 4264028160 in words is "four billion, two hundred sixty-four million, twenty-eight thousand, one hundred sixty".