41545200 has 120 divisors (see below), whose sum is σ = 134924400. Its totient is φ = 10926080.

The previous prime is 41545193. The next prime is 41545201. The reversal of 41545200 is 254514.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41545201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106606 + ... + 106994.

It is an arithmetic number, because the mean of its divisors is an integer number (1124370).

Almost surely, 2^41545200 is an apocalyptic number.

41545200 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 41545200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67462200).

41545200 is an abundant number, since it is smaller than the sum of its proper divisors (93379200).

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

41545200 is a wasteful number, since it uses less digits than its factorization.

41545200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 41545200 is about 6445.5566090137. The cubic root of 41545200 is about 346.3434281543.

Adding to 41545200 its reverse (254514), we get a palindrome (41799714).

The spelling of 41545200 in words is "forty-one million, five hundred forty-five thousand, two hundred".