540420141024045 has 96 divisors (see below), whose sum is σ = 987700345632000. Its totient is φ = 272591820813312.

The previous prime is 540420141024031. The next prime is 540420141024077.

540420141024045 is a `hidden beast` number, since 5 + 4 + 0 + 4 + 201 + 41 + 0 + 2 + 404 + 5 = 666.

540420141024045 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 540420141024045 - 2⁴⁸ = 258945164313389 is a prime.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 9423329031 + ... + 9423386379.

It is an arithmetic number, because the mean of its divisors is an integer number (10288545267000).

Almost surely, 2^{540420141024045} is an apocalyptic number.

It is an amenable number.

540420141024045 is a deficient number, since it is larger than the sum of its proper divisors (447280204607955).

540420141024045 is a wasteful number, since it uses less digits than its factorization.

540420141024045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75859 (or 75856 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

The spelling of 540420141024045 in words is "five hundred forty trillion, four hundred twenty billion, one hundred forty-one million, twenty-four thousand, forty-five".