540716284442880 has 5760 divisors, whose sum is σ = 2596735798272000. Its totient is φ = 106516021248000.

The previous prime is 540716284442869. The next prime is 540716284442923. The reversal of 540716284442880 is 88244482617045.

540716284442880 is a `hidden beast` number, since 5 + 4 + 0 + 7 + 162 + 8 + 44 + 428 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 415615898230 + ... + 415615899530.

It is an arithmetic number, because the mean of its divisors is an integer number (450822187200).

Almost surely, 2^{540716284442880} 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 540716284442880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1298367899136000).

540716284442880 is an abundant number, since it is smaller than the sum of its proper divisors (2056019513829120).

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

540716284442880 is a wasteful number, since it uses less digits than its factorization.

540716284442880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1428 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 110100480, while the sum is 63.

The spelling of 540716284442880 in words is "five hundred forty trillion, seven hundred sixteen billion, two hundred eighty-four million, four hundred forty-two thousand, eight hundred eighty".