540428778240 has 288 divisors, whose sum is σ = 1861571986176. Its totient is φ = 132827627520.

The previous prime is 540428778199. The next prime is 540428778287. The reversal of 540428778240 is 42877824045.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34486887 + ... + 34502553.

Almost surely, 2^540428778240 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 540428778240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930785993088).

540428778240 is an abundant number, since it is smaller than the sum of its proper divisors (1321143207936).

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

540428778240 is a wasteful number, since it uses less digits than its factorization.

540428778240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16395 (or 16381 counting only the distinct ones).

The product of its (nonzero) digits is 4014080, while the sum is 51.

The spelling of 540428778240 in words is "five hundred forty billion, four hundred twenty-eight million, seven hundred seventy-eight thousand, two hundred forty".