541564460260041 has 64 divisors (see below), whose sum is σ = 804171547017216. Its totient is φ = 322616770944000.

The previous prime is 541564460260013. The next prime is 541564460260121. The reversal of 541564460260041 is 140062064465145.

It is not a de Polignac number, because 541564460260041 - 2⁵ = 541564460260009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (541564460260741) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1252573000 + ... + 1253005286.

It is an arithmetic number, because the mean of its divisors is an integer number (12565180422144).

Almost surely, 2^{541564460260041} is an apocalyptic number.

541564460260041 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

541564460260041 is a deficient number, since it is larger than the sum of its proper divisors (262607086757175).

541564460260041 is a wasteful number, since it uses less digits than its factorization.

541564460260041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447342.

The product of its (nonzero) digits is 2764800, while the sum is 48.

The spelling of 541564460260041 in words is "five hundred forty-one trillion, five hundred sixty-four billion, four hundred sixty million, two hundred sixty thousand, forty-one".