256507201406241 has 48 divisors (see below), whose sum is σ = 378378586060800. Its totient is φ = 167414493527424.

The previous prime is 256507201406177. The next prime is 256507201406257. The reversal of 256507201406241 is 142604102705652.

256507201406241 is a `hidden beast` number, since 2 + 5 + 6 + 5 + 0 + 7 + 2 + 0 + 14 + 0 + 624 + 1 = 666.

256507201406241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 256507201406241 - 2⁶ = 256507201406177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (256507201406441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51070695 + ... + 55867971.

It is an arithmetic number, because the mean of its divisors is an integer number (7882887209600).

Almost surely, 2^{256507201406241} is an apocalyptic number.

It is an amenable number.

256507201406241 is a deficient number, since it is larger than the sum of its proper divisors (121871384654559).

256507201406241 is a wasteful number, since it uses less digits than its factorization.

256507201406241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4797998 (or 4797995 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 256507201406241 in words is "two hundred fifty-six trillion, five hundred seven billion, two hundred one million, four hundred six thousand, two hundred forty-one".