4000064000256 has 1215 divisors, whose sum is σ = 13690529190261. Its totient is φ = 1161225289728.

The previous prime is 4000064000249. The next prime is 4000064000279. The reversal of 4000064000256 is 6520004600004.

It is a happy number.

The square root of 4000064000256 is 2000016.

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

4000064000256 is a `hidden beast` number, since 4 + 0 + 0 + 0 + 0 + 6 + 400 + 0 + 256 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3114236678400 + 885827321856 = 1764720^2 + 941184^2 .

It is a super-2 number, since 2×4000064000256² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 134 ways as a sum of consecutive naturals, for example, 93024744171 + ... + 93024744213.

Almost surely, 2^{4000064000256} is an apocalyptic number.

4000064000256 is the 2000016-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4000064000256

4000064000256 is an abundant number, since it is smaller than the sum of its proper divisors (9690465190005).

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

4000064000256 is an equidigital number, since it uses as much as digits as its factorization.

4000064000256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 4000064000256 in words is "four trillion, sixty-four million, two hundred fifty-six", and thus it is an aban number.