540416040064 has 96 divisors (see below), whose sum is σ = 1132217331840. Its totient is φ = 256906805760.

The previous prime is 540416040053. The next prime is 540416040067. The reversal of 540416040064 is 460040614045.

It is not an unprimeable number, because it can be changed into a prime (540416040067) 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, 11284009 + ... + 11331799.

It is an arithmetic number, because the mean of its divisors is an integer number (11793930540).

Almost surely, 2^540416040064 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 540416040064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566108665920).

540416040064 is an abundant number, since it is smaller than the sum of its proper divisors (591801291776).

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

540416040064 is a wasteful number, since it uses less digits than its factorization.

540416040064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48018 (or 47983 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The spelling of 540416040064 in words is "five hundred forty billion, four hundred sixteen million, forty thousand, sixty-four".