201044041200 has 300 divisors, whose sum is σ = 739134129888. Its totient is φ = 52303795200.

The previous prime is 201044041189. The next prime is 201044041229. The reversal of 201044041200 is 2140440102.

201044041200 is a `hidden beast` number, since 20 + 1 + 0 + 440 + 4 + 1 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1252729 + ... + 1404071.

Almost surely, 2^201044041200 is an apocalyptic number.

201044041200 is a gapful number since it is divisible by the number (20) 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 201044041200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369567064944).

201044041200 is an abundant number, since it is smaller than the sum of its proper divisors (538090088688).

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

201044041200 is a wasteful number, since it uses less digits than its factorization.

201044041200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151414 (or 151394 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 201044041200 its reverse (2140440102), we get a palindrome (203184481302).

The spelling of 201044041200 in words is "two hundred one billion, forty-four million, forty-one thousand, two hundred".