542420994024 has 192 divisors, whose sum is σ = 1808972605440. Its totient is φ = 142984673280.

The previous prime is 542420994013. The next prime is 542420994047. The reversal of 542420994024 is 420499024245.

It is a happy number.

542420994024 is a `hidden beast` number, since 542 + 42 + 0 + 9 + 9 + 40 + 24 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13811664 + ... + 13850880.

It is an arithmetic number, because the mean of its divisors is an integer number (9421732320).

Almost surely, 2^542420994024 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 542420994024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904486302720).

542420994024 is an abundant number, since it is smaller than the sum of its proper divisors (1266551611416).

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

542420994024 is a wasteful number, since it uses less digits than its factorization.

542420994024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41360 (or 41353 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 542420994024 in words is "five hundred forty-two billion, four hundred twenty million, nine hundred ninety-four thousand, twenty-four".