256194540441 has 60 divisors (see below), whose sum is σ = 445343842020. Its totient is φ = 146347508160.

The previous prime is 256194540431. The next prime is 256194540533. The reversal of 256194540441 is 144045491652.

256194540441 is a `hidden beast` number, since 2 + 5 + 61 + 9 + 4 + 540 + 4 + 41 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 208045454400 + 48149086041 = 456120^2 + 219429^2 .

It is not a de Polignac number, because 256194540441 - 2⁹ = 256194539929 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (256194540431) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 14045115 + ... + 14063343.

It is an arithmetic number, because the mean of its divisors is an integer number (7422397367).

Almost surely, 2^256194540441 is an apocalyptic number.

256194540441 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

256194540441 is a deficient number, since it is larger than the sum of its proper divisors (189149301579).

256194540441 is a wasteful number, since it uses less digits than its factorization.

256194540441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21796 (or 21780 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 256194540441 in words is "two hundred fifty-six billion, one hundred ninety-four million, five hundred forty thousand, four hundred forty-one".