542033321120 has 96 divisors (see below), whose sum is σ = 1298052241920. Its totient is φ = 213856081920.

The previous prime is 542033321113. The next prime is 542033321147. The reversal of 542033321120 is 21123330245.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 542033321120.

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 15 ways as a sum of consecutive naturals, for example, 13011044 + ... + 13052636.

It is an arithmetic number, because the mean of its divisors is an integer number (13521377520).

Almost surely, 2^542033321120 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 542033321120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649026120960).

542033321120 is an abundant number, since it is smaller than the sum of its proper divisors (756018920800).

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

542033321120 is a wasteful number, since it uses less digits than its factorization.

542033321120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42718 (or 42710 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

Adding to 542033321120 its reverse (21123330245), we get a palindrome (563156651365).

The spelling of 542033321120 in words is "five hundred forty-two billion, thirty-three million, three hundred twenty-one thousand, one hundred twenty".