201033000432 has 240 divisors, whose sum is σ = 634606034400. Its totient is φ = 58872268800.

The previous prime is 201033000431. The next prime is 201033000449. The reversal of 201033000432 is 234000330102.

201033000432 is a `hidden beast` number, since 201 + 0 + 3 + 30 + 0 + 0 + 432 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201033000431) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 8721082 + ... + 8744102.

It is an arithmetic number, because the mean of its divisors is an integer number (2644191810).

Almost surely, 2^201033000432 is an apocalyptic number.

201033000432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201033000432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317303017200).

201033000432 is an abundant number, since it is smaller than the sum of its proper divisors (433573033968).

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

201033000432 is a wasteful number, since it uses less digits than its factorization.

201033000432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23232 (or 23223 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 201033000432 its reverse (234000330102), we get a palindrome (435033330534).

The spelling of 201033000432 in words is "two hundred one billion, thirty-three million, four hundred thirty-two", and thus it is an aban number.