201044400304 has 80 divisors (see below), whose sum is σ = 434393197056. Its totient is φ = 89353491200.

The previous prime is 201044400299. The next prime is 201044400307. The reversal of 201044400304 is 403004440102.

201044400304 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 (22).

It is not an unprimeable number, because it can be changed into a prime (201044400307) 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 15 ways as a sum of consecutive naturals, for example, 9013614 + ... + 9035890.

Almost surely, 2^201044400304 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 201044400304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217196598528).

201044400304 is an abundant number, since it is smaller than the sum of its proper divisors (233348796752).

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

201044400304 is a wasteful number, since it uses less digits than its factorization.

201044400304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23434 (or 23428 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 201044400304 its reverse (403004440102), we get a palindrome (604048840406).

The spelling of 201044400304 in words is "two hundred one billion, forty-four million, four hundred thousand, three hundred four".