540106642141 has 16 divisors (see below), whose sum is σ = 590087980800. Its totient is φ = 490272422400.

The previous prime is 540106642093. The next prime is 540106642151. The reversal of 540106642141 is 141246601045.

It is a cyclic number.

It is not a de Polignac number, because 540106642141 - 2²¹ = 540104544989 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 540106642097 and 540106642106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540106642151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61941580 + ... + 61950298.

It is an arithmetic number, because the mean of its divisors is an integer number (36880498800).

Almost surely, 2^540106642141 is an apocalyptic number.

It is an amenable number.

540106642141 is a deficient number, since it is larger than the sum of its proper divisors (49981338659).

540106642141 is a wasteful number, since it uses less digits than its factorization.

540106642141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16500.

The product of its (nonzero) digits is 23040, while the sum is 34.

The spelling of 540106642141 in words is "five hundred forty billion, one hundred six million, six hundred forty-two thousand, one hundred forty-one".