542010305304 has 512 divisors, whose sum is σ = 1750271846400. Its totient is φ = 154095575040.

The previous prime is 542010305299. The next prime is 542010305321. The reversal of 542010305304 is 403503010245.

542010305304 is a `hidden beast` number, since 5 + 4 + 20 + 103 + 0 + 530 + 4 = 666.

542010305304 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 283329052 + ... + 283330964.

It is an arithmetic number, because the mean of its divisors is an integer number (3418499700).

Almost surely, 2^542010305304 is an apocalyptic number.

542010305304 is a gapful number since it is divisible by the number (54) 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 542010305304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875135923200).

542010305304 is an abundant number, since it is smaller than the sum of its proper divisors (1208261541096).

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

542010305304 is a wasteful number, since it uses less digits than its factorization.

542010305304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2112 (or 2102 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 542010305304 its reverse (403503010245), we get a palindrome (945513315549).

The spelling of 542010305304 in words is "five hundred forty-two billion, ten million, three hundred five thousand, three hundred four".