41971200 has 120 divisors (see below), whose sum is σ = 138776088. Its totient is φ = 11182080.

The previous prime is 41971187. The next prime is 41971201. The reversal of 41971200 is 217914.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41971201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37854 + ... + 38946.

Almost surely, 2^41971200 is an apocalyptic number.

41971200 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 41971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69388044).

41971200 is an abundant number, since it is smaller than the sum of its proper divisors (96804888).

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

41971200 is a wasteful number, since it uses less digits than its factorization.

41971200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 41971200 is about 6478.5183491289. The cubic root of 41971200 is about 347.5231942837.

The spelling of 41971200 in words is "forty-one million, nine hundred seventy-one thousand, two hundred".