201341432032 has 192 divisors, whose sum is σ = 446291887104. Its totient is φ = 88812472320.

The previous prime is 201341431927. The next prime is 201341432041. The reversal of 201341432032 is 230234143102.

201341432032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 201341431988 and 201341432006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 343000443 + ... + 343001029.

It is an arithmetic number, because the mean of its divisors is an integer number (2324436912).

Almost surely, 2^201341432032 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 201341432032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223145943552).

201341432032 is an abundant number, since it is smaller than the sum of its proper divisors (244950455072).

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

201341432032 is a wasteful number, since it uses less digits than its factorization.

201341432032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 201341432032 its reverse (230234143102), we get a palindrome (431575575134).

The spelling of 201341432032 in words is "two hundred one billion, three hundred forty-one million, four hundred thirty-two thousand, thirty-two".