201141340032 has 64 divisors (see below), whose sum is σ = 539468991360. Its totient is φ = 66396157440.

The previous prime is 201141340003. The next prime is 201141340039. The reversal of 201141340032 is 230043141102.

201141340032 is digitally balanced in base 2, because in such base 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 (64).

It is a super-2 number, since 2×201141340032² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201141339990 and 201141340008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201141340039) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2503194 + ... + 2582297.

It is an arithmetic number, because the mean of its divisors is an integer number (8429202990).

Almost surely, 2^201141340032 is an apocalyptic number.

It is an amenable number.

201141340032 is an abundant number, since it is smaller than the sum of its proper divisors (338327651328).

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

201141340032 is a wasteful number, since it uses less digits than its factorization.

201141340032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5085611 (or 5085599 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 201141340032 its reverse (230043141102), we get a palindrome (431184481134).

The spelling of 201141340032 in words is "two hundred one billion, one hundred forty-one million, three hundred forty thousand, thirty-two".