41961200 has 60 divisors (see below), whose sum is σ = 105217968. Its totient is φ = 16051200.

The previous prime is 41961191. The next prime is 41961217. The reversal of 41961200 is 216914.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6920 + ... + 11480.

Almost surely, 2^41961200 is an apocalyptic number.

41961200 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 41961200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52608984).

41961200 is an abundant number, since it is smaller than the sum of its proper divisors (63256768).

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

41961200 is a wasteful number, since it uses less digits than its factorization.

41961200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4602 (or 4591 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 41961200 is about 6477.7465217466. The cubic root of 41961200 is about 347.4955919597.

The spelling of 41961200 in words is "forty-one million, nine hundred sixty-one thousand, two hundred".