256761405041 has 8 divisors (see below), whose sum is σ = 257106453120. Its totient is φ = 256416442128.

The previous prime is 256761404987. The next prime is 256761405053. The reversal of 256761405041 is 140504167652.

256761405041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-256761405041 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 256761405041.

It is not an unprimeable number, because it can be changed into a prime (256761405841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7988495 + ... + 8020571.

It is an arithmetic number, because the mean of its divisors is an integer number (32138306640).

Almost surely, 2^256761405041 is an apocalyptic number.

It is an amenable number.

256761405041 is a deficient number, since it is larger than the sum of its proper divisors (345048079).

256761405041 is an equidigital number, since it uses as much as digits as its factorization.

256761405041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42583.

The product of its (nonzero) digits is 201600, while the sum is 41.

The spelling of 256761405041 in words is "two hundred fifty-six billion, seven hundred sixty-one million, four hundred five thousand, forty-one".