4471268256 has 768 divisors, whose sum is σ = 17374694400. Its totient is φ = 1086898176.

The previous prime is 4471268251. The next prime is 4471268257. The reversal of 4471268256 is 6528621744.

4471268256 is a `hidden beast` number, since 447 + 126 + 82 + 5 + 6 = 666.

It is a super-2 number, since 2×4471268256² = 39984479634226563072, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (645120) is a multiple of the sum of its prime divisors (144).

It is not an unprimeable number, because it can be changed into a prime (4471268251) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 84363526 + ... + 84363578.

It is an arithmetic number, because the mean of its divisors is an integer number (22623300).

Almost surely, 2^4471268256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4471268256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8687347200).

4471268256 is an abundant number, since it is smaller than the sum of its proper divisors (12903426144).

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

4471268256 is a wasteful number, since it uses less digits than its factorization.

4471268256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 144 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 4471268256 is about 66867.5426197195. The cubic root of 4471268256 is about 1647.4424112018.

The spelling of 4471268256 in words is "four billion, four hundred seventy-one million, two hundred sixty-eight thousand, two hundred fifty-six".