540401121 has 12 divisors (see below), whose sum is σ = 840624148. Its totient is φ = 332554464.

The previous prime is 540401111. The next prime is 540401137. The reversal of 540401121 is 121104045.

540401121 is a `hidden beast` number, since 540 + 4 + 0 + 1 + 121 = 666.

540401121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 241491600 + 298909521 = 15540^2 + 17289^2 .

It is not a de Polignac number, because 540401121 - 2⁵ = 540401089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 540401094 and 540401103.

It is not an unprimeable number, because it can be changed into a prime (540401101) 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, 2309290 + ... + 2309523.

Almost surely, 2^540401121 is an apocalyptic number.

It is an amenable number.

540401121 is a deficient number, since it is larger than the sum of its proper divisors (300223027).

540401121 is a wasteful number, since it uses less digits than its factorization.

540401121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4618832 (or 4618829 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 540401121 is about 23246.5292248112. The cubic root of 540401121 is about 814.5268665386.

Adding to 540401121 its reverse (121104045), we get a palindrome (661505166).

The spelling of 540401121 in words is "five hundred forty million, four hundred one thousand, one hundred twenty-one".