201044029984 has 192 divisors, whose sum is σ = 495753350400. Its totient is φ = 78328332288.

The previous prime is 201044029937. The next prime is 201044029997. The reversal of 201044029984 is 489920440102.

It is a self number, because there is not a number n which added to its sum of digits gives 201044029984.

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, 11486712 + ... + 11504200.

It is an arithmetic number, because the mean of its divisors is an integer number (2582048700).

Almost surely, 2^201044029984 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 201044029984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247876675200).

201044029984 is an abundant number, since it is smaller than the sum of its proper divisors (294709320416).

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

201044029984 is a wasteful number, since it uses less digits than its factorization.

201044029984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17635 (or 17627 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The spelling of 201044029984 in words is "two hundred one billion, forty-four million, twenty-nine thousand, nine hundred eighty-four".