540541105040 has 160 divisors (see below), whose sum is σ = 1306578278400. Its totient is φ = 207749836800.

The previous prime is 540541105019. The next prime is 540541105057. The reversal of 540541105040 is 40501145045.

It is a junction number, because it is equal to n+sod(n) for n = 540541104994 and 540541105012.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 326215892 + ... + 326217548.

It is an arithmetic number, because the mean of its divisors is an integer number (8166114240).

Almost surely, 2^540541105040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540541105040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653289139200).

540541105040 is an abundant number, since it is smaller than the sum of its proper divisors (766037173360).

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

540541105040 is a wasteful number, since it uses less digits than its factorization.

540541105040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2561 (or 2555 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 29.

The spelling of 540541105040 in words is "five hundred forty billion, five hundred forty-one million, one hundred five thousand, forty".