542201319936 has 640 divisors, whose sum is σ = 1744291929600. Its totient is φ = 167907852288.

The previous prime is 542201319923. The next prime is 542201319937. The reversal of 542201319936 is 639913102245.

542201319936 is a `hidden beast` number, since 5 + 42 + 201 + 319 + 93 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 542201319891 and 542201319900.

It is not an unprimeable number, because it can be changed into a prime (542201319937) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 952901860 + ... + 952902428.

It is an arithmetic number, because the mean of its divisors is an integer number (2725456140).

Almost surely, 2^542201319936 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 542201319936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872145964800).

542201319936 is an abundant number, since it is smaller than the sum of its proper divisors (1202090609664).

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

542201319936 is an frugal number, since it uses more digits than its factorization.

542201319936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 542201319936 in words is "five hundred forty-two billion, two hundred one million, three hundred nineteen thousand, nine hundred thirty-six".