542617018416 has 200 divisors, whose sum is σ = 1729279658304. Its totient is φ = 162892218240.

The previous prime is 542617018409. The next prime is 542617018441. The reversal of 542617018416 is 614810716245.

542617018416 is a `hidden beast` number, since 5 + 4 + 2 + 617 + 0 + 18 + 4 + 16 = 666.

542617018416 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1347531 + ... + 1703253.

Almost surely, 2^542617018416 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 542617018416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864639829152).

542617018416 is an abundant number, since it is smaller than the sum of its proper divisors (1186662639888).

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

542617018416 is a wasteful number, since it uses less digits than its factorization.

542617018416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355861 (or 355846 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 542617018416 in words is "five hundred forty-two billion, six hundred seventeen million, eighteen thousand, four hundred sixteen".