41945200 has 60 divisors (see below), whose sum is σ = 109946088. Its totient is φ = 15251200.

The previous prime is 41945191. The next prime is 41945203. The reversal of 41945200 is 254914.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41945203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 367 + ... + 9166.

Almost surely, 2^41945200 is an apocalyptic number.

41945200 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 41945200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54973044).

41945200 is an abundant number, since it is smaller than the sum of its proper divisors (68000888).

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

41945200 is a wasteful number, since it uses less digits than its factorization.

41945200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9562 (or 9551 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 41945200 is about 6476.5114066139. The cubic root of 41945200 is about 347.4514191183.

The spelling of 41945200 in words is "forty-one million, nine hundred forty-five thousand, two hundred".