201041341200 has 240 divisors, whose sum is σ = 817781170560. Its totient is φ = 45952289280.

The previous prime is 201041341159. The next prime is 201041341201. The reversal of 201041341200 is 2143140102.

201041341200 is a `hidden beast` number, since 2 + 0 + 10 + 413 + 41 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (201041341201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1254039 + ... + 1405238.

It is an arithmetic number, because the mean of its divisors is an integer number (3407421544).

Almost surely, 2^201041341200 is an apocalyptic number.

201041341200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201041341200 is an abundant number, since it is smaller than the sum of its proper divisors (616739829360).

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

201041341200 is a wasteful number, since it uses less digits than its factorization.

201041341200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2659311 (or 2659294 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 201041341200 its reverse (2143140102), we get a palindrome (203184481302).

The spelling of 201041341200 in words is "two hundred one billion, forty-one million, three hundred forty-one thousand, two hundred".