201442014432 has 72 divisors (see below), whose sum is σ = 572913943056. Its totient is φ = 67139928576.

The previous prime is 201442014427. The next prime is 201442014451. The reversal of 201442014432 is 234410244102.

201442014432 is a `hidden beast` number, since 2 + 0 + 14 + 4 + 201 + 443 + 2 = 666.

201442014432 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 201442014396 and 201442014405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2986908 + ... + 3053604.

It is an arithmetic number, because the mean of its divisors is an integer number (7957138098).

Almost surely, 2^201442014432 is an apocalyptic number.

It is an amenable number.

201442014432 is an abundant number, since it is smaller than the sum of its proper divisors (371471928624).

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

201442014432 is a wasteful number, since it uses less digits than its factorization.

201442014432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77200 (or 77189 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 201442014432 its reverse (234410244102), we get a palindrome (435852258534).

The spelling of 201442014432 in words is "two hundred one billion, four hundred forty-two million, fourteen thousand, four hundred thirty-two".