540042554016 has 72 divisors (see below), whose sum is σ = 1755138307104. Its totient is φ = 154297872000.

The previous prime is 540042553991. The next prime is 540042554027. The reversal of 540042554016 is 610455240045.

540042554016 is a `hidden beast` number, since 54 + 0 + 0 + 42 + 554 + 0 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 133937110 + ... + 133941141.

It is an arithmetic number, because the mean of its divisors is an integer number (24376920932).

Almost surely, 2^540042554016 is an apocalyptic number.

540042554016 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

540042554016 is an abundant number, since it is smaller than the sum of its proper divisors (1215095753088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

540042554016 is a wasteful number, since it uses less digits than its factorization.

540042554016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267878274 (or 267878263 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 540042554016 in words is "five hundred forty billion, forty-two million, five hundred fifty-four thousand, sixteen".