256661416041 has 8 divisors (see below), whose sum is σ = 344713143264. Its totient is φ = 169858649760.

The previous prime is 256661416021. The next prime is 256661416051. The reversal of 256661416041 is 140614166652.

It is a happy number.

256661416041 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 de Polignac number, because none of the positive numbers 2^k-256661416041 is a prime.

It is a super-2 number, since 2×256661416041² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 256661415984 and 256661416002.

It is not an unprimeable number, because it can be changed into a prime (256661416021) 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, 312239755 + ... + 312240576.

It is an arithmetic number, because the mean of its divisors is an integer number (43089142908).

Almost surely, 2^256661416041 is an apocalyptic number.

It is an amenable number.

256661416041 is a deficient number, since it is larger than the sum of its proper divisors (88051727223).

256661416041 is a wasteful number, since it uses less digits than its factorization.

256661416041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624480471.

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 256661416041 in words is "two hundred fifty-six billion, six hundred sixty-one million, four hundred sixteen thousand, forty-one".