42527142205200 has 180 divisors, whose sum is σ = 147941835401620. Its totient is φ = 11312843304960.

The previous prime is 42527142205069. The next prime is 42527142205271. The reversal of 42527142205200 is 250224172524.

42527142205200 is a `hidden beast` number, since 4 + 2 + 5 + 2 + 71 + 42 + 20 + 520 + 0 = 666.

42527142205200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 7384393195776 + 35142749009424 = 2717424^2 + 5928132^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 35 ways as a sum of consecutive naturals, for example, 12969037 + ... + 15913836.

Almost surely, 2^{42527142205200} is an apocalyptic number.

42527142205200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42527142205200 is an abundant number, since it is smaller than the sum of its proper divisors (105414693196420).

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

42527142205200 is a wasteful number, since it uses less digits than its factorization.

42527142205200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28883306 (or 28883292 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 36.

Adding to 42527142205200 its reverse (250224172524), we get a palindrome (42777366377724).

The spelling of 42527142205200 in words is "forty-two trillion, five hundred twenty-seven billion, one hundred forty-two million, two hundred five thousand, two hundred".