4256712266976 has 288 divisors, whose sum is σ = 13774095709920. Its totient is φ = 1285043595264.

The previous prime is 4256712266969. The next prime is 4256712266977. The reversal of 4256712266976 is 6796622176524.

4256712266976 is a `hidden beast` number, since 4 + 2 + 567 + 1 + 2 + 2 + 6 + 69 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4256712266977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4960410 + ... + 5754918.

It is an arithmetic number, because the mean of its divisors is an integer number (47826721215).

Almost surely, 2^{4256712266976} 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 4256712266976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6887047854960).

4256712266976 is an abundant number, since it is smaller than the sum of its proper divisors (9517383442944).

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

4256712266976 is a wasteful number, since it uses less digits than its factorization.

4256712266976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794600 (or 794580 counting only the distinct ones).

The product of its digits is 91445760, while the sum is 63.

The spelling of 4256712266976 in words is "four trillion, two hundred fifty-six billion, seven hundred twelve million, two hundred sixty-six thousand, nine hundred seventy-six".