540416040065 has 12 divisors (see below), whose sum is σ = 712813223892. Its totient is φ = 393029846880.

The previous prime is 540416040053. The next prime is 540416040067. The reversal of 540416040065 is 560040614045.

It can be written as a sum of positive squares in 2 ways, for example, as 132304605169 + 408111434896 = 363737^2 + 638836^2 .

It is not a de Polignac number, because 540416040065 - 2⁴ = 540416040049 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (540416040067) 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, 446624222 + ... + 446625431.

It is an arithmetic number, because the mean of its divisors is an integer number (59401101991).

Almost surely, 2^540416040065 is an apocalyptic number.

540416040065 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

540416040065 is a deficient number, since it is larger than the sum of its proper divisors (172397183827).

540416040065 is a wasteful number, since it uses less digits than its factorization.

540416040065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893249680 (or 893249669 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

The spelling of 540416040065 in words is "five hundred forty billion, four hundred sixteen million, forty thousand, sixty-five".