41201200 has 120 divisors (see below), whose sum is σ = 107524368. Its totient is φ = 15114240.

The previous prime is 41201191. The next prime is 41201219. The reversal of 41201200 is 210214.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 496359 + ... + 496441.

Almost surely, 2^41201200 is an apocalyptic number.

41201200 is a gapful number since it is divisible by the number (40) 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 41201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53762184).

41201200 is an abundant number, since it is smaller than the sum of its proper divisors (66323168).

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

41201200 is a wasteful number, since it uses less digits than its factorization.

41201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 180 counting only the distinct ones).

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

The square root of 41201200 is about 6418.8160902148. The cubic root of 41201200 is about 345.3848537329.

Adding to 41201200 its reverse (210214), we get a palindrome (41411414).

The spelling of 41201200 in words is "forty-one million, two hundred one thousand, two hundred".