542133010324000 has 48 divisors (see below), whose sum is σ = 1332020806375896. Its totient is φ = 216853204128000.

The previous prime is 542133010323991. The next prime is 542133010324007. The reversal of 542133010324000 is 423010331245.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 30933752723344 + 511199257600656 = 5561812^2 + 22609716^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 542133010324000.

It is not an unprimeable number, because it can be changed into a prime (542133010324007) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 67766622291 + ... + 67766630290.

Almost surely, 2^{542133010324000} is an apocalyptic number.

542133010324000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

542133010324000 is an abundant number, since it is smaller than the sum of its proper divisors (789887796051896).

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

542133010324000 is a wasteful number, since it uses less digits than its factorization.

542133010324000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135533252606 (or 135533252588 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 542133010324000 its reverse (423010331245), we get a palindrome (542556020655245).

The spelling of 542133010324000 in words is "five hundred forty-two trillion, one hundred thirty-three billion, ten million, three hundred twenty-four thousand".