201041200 has 90 divisors (see below), whose sum is σ = 500039052. Its totient is φ = 77673600.

The previous prime is 201041179. The next prime is 201041209. The reversal of 201041200 is 2140102.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (201041209) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 384139 + ... + 384661.

Almost surely, 2^201041200 is an apocalyptic number.

201041200 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 201041200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250019526).

201041200 is an abundant number, since it is smaller than the sum of its proper divisors (298997852).

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

201041200 is a wasteful number, since it uses less digits than its factorization.

201041200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 201041200 is about 14178.8998162763. The cubic root of 201041200 is about 585.8166207413.

Adding to 201041200 its reverse (2140102), we get a palindrome (203181302).

The spelling of 201041200 in words is "two hundred one million, forty-one thousand, two hundred".