540713440160 has 192 divisors, whose sum is σ = 1354625233920. Its totient is φ = 203623526400.

The previous prime is 540713440139. The next prime is 540713440217. The reversal of 540713440160 is 61044317045.

It is a self number, because there is not a number n which added to its sum of digits gives 540713440160.

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, 60403685 + ... + 60412635.

It is an arithmetic number, because the mean of its divisors is an integer number (7055339760).

Almost surely, 2^540713440160 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 540713440160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677312616960).

540713440160 is an abundant number, since it is smaller than the sum of its proper divisors (813911793760).

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

540713440160 is a wasteful number, since it uses less digits than its factorization.

540713440160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9319 (or 9311 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The spelling of 540713440160 in words is "five hundred forty billion, seven hundred thirteen million, four hundred forty thousand, one hundred sixty".