201980034432 has 640 divisors, whose sum is σ = 730982102400. Its totient is φ = 54563880960.

The previous prime is 201980034419. The next prime is 201980034433. The reversal of 201980034432 is 234430089102.

201980034432 is a `hidden beast` number, since 2 + 0 + 198 + 0 + 0 + 34 + 432 = 666.

201980034432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201980034433) 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 79 ways as a sum of consecutive naturals, for example, 36834763 + ... + 36840245.

It is an arithmetic number, because the mean of its divisors is an integer number (1142159535).

Almost surely, 2^201980034432 is an apocalyptic number.

201980034432 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 201980034432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365491051200).

201980034432 is an abundant number, since it is smaller than the sum of its proper divisors (529002067968).

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

201980034432 is a wasteful number, since it uses less digits than its factorization.

201980034432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5556 (or 5535 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 201980034432 in words is "two hundred one billion, nine hundred eighty million, thirty-four thousand, four hundred thirty-two".