542740320000 has 1080 divisors, whose sum is σ = 2091875385600. Its totient is φ = 134894592000.

The previous prime is 542740319881. The next prime is 542740320011. The reversal of 542740320000 is 23047245.

542740320000 is a `hidden beast` number, since 54 + 2 + 7 + 403 + 200 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2270879881 + ... + 2270880119.

Almost surely, 2^542740320000 is an apocalyptic number.

542740320000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542740320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1045937692800).

542740320000 is an abundant number, since it is smaller than the sum of its proper divisors (1549135065600).

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

542740320000 is a wasteful number, since it uses less digits than its factorization.

542740320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

Adding to 542740320000 its reverse (23047245), we get a palindrome (542763367245).

The spelling of 542740320000 in words is "five hundred forty-two billion, seven hundred forty million, three hundred twenty thousand".