540400041 has 12 divisors (see below), whose sum is σ = 780982020. Its totient is φ = 360080160.

The previous prime is 540400009. The next prime is 540400043. The reversal of 540400041 is 140004045.

It can be written as a sum of positive squares in 2 ways, for example, as 344288025 + 196112016 = 18555^2 + 14004^2 .

It is not a de Polignac number, because 540400041 - 2⁵ = 540400009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 540399987 and 540400023.

It is not an unprimeable number, because it can be changed into a prime (540400043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4111 + ... + 33131.

It is an arithmetic number, because the mean of its divisors is an integer number (65081835).

Almost surely, 2^540400041 is an apocalyptic number.

It is an amenable number.

540400041 is a deficient number, since it is larger than the sum of its proper divisors (240581979).

540400041 is a wasteful number, since it uses less digits than its factorization.

540400041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31096 (or 31093 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 540400041 is about 23246.5059955254. The cubic root of 540400041 is about 814.5263239234.

Adding to 540400041 its reverse (140004045), we get a palindrome (680404086).

The spelling of 540400041 in words is "five hundred forty million, four hundred thousand, forty-one".