4256211456 has 240 divisors, whose sum is σ = 14651455104. Its totient is φ = 1162985472.

The previous prime is 4256211431. The next prime is 4256211457. The reversal of 4256211456 is 6541126524.

4256211456 is a `hidden beast` number, since 4 + 25 + 621 + 1 + 4 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4256211456.

It is not an unprimeable number, because it can be changed into a prime (4256211457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 739020 + ... + 744756.

Almost surely, 2^4256211456 is an apocalyptic number.

4256211456 is a gapful number since it is divisible by the number (46) 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 4256211456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7325727552).

4256211456 is an abundant number, since it is smaller than the sum of its proper divisors (10395243648).

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

4256211456 is a wasteful number, since it uses less digits than its factorization.

4256211456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5791 (or 5772 counting only the distinct ones).

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

The square root of 4256211456 is about 65239.6463509728. The cubic root of 4256211456 is about 1620.5946422416.

The spelling of 4256211456 in words is "four billion, two hundred fifty-six million, two hundred eleven thousand, four hundred fifty-six".