4282764026256 has 405 divisors, whose sum is σ = 12691438822881. Its totient is φ = 1348177768704.

The previous prime is 4282764026251. The next prime is 4282764026269. The reversal of 4282764026256 is 6526204672824.

The square root of 4282764026256 is 2069484.

It is a perfect power (a square), and thus also a powerful number.

4282764026256 is a `hidden beast` number, since 4 + 2 + 8 + 2 + 7 + 6 + 4 + 0 + 2 + 625 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3832276064400 + 450487961856 = 1957620^2 + 671184^2 .

It is not an unprimeable number, because it can be changed into a prime (4282764026251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 54212202825 + ... + 54212202903.

Almost surely, 2^{4282764026256} is an apocalyptic number.

4282764026256 is the 2069484-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4282764026256

4282764026256 is an abundant number, since it is smaller than the sum of its proper divisors (8408674796625).

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

4282764026256 is an equidigital number, since it uses as much as digits as its factorization.

4282764026256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 4282764026256 in words is "four trillion, two hundred eighty-two billion, seven hundred sixty-four million, twenty-six thousand, two hundred fifty-six".