41216947200 has 1320 divisors, whose sum is σ = 180593545440. Its totient is φ = 9157017600.

The previous prime is 41216947159. The next prime is 41216947207. The reversal of 41216947200 is 274961214.

It is a happy number.

41216947200 is a `hidden beast` number, since 4 + 121 + 69 + 472 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41216947207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 296524731 + ... + 296524869.

It is an arithmetic number, because the mean of its divisors is an integer number (136813292).

Almost surely, 2^41216947200 is an apocalyptic number.

41216947200 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 41216947200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90296772720).

41216947200 is an abundant number, since it is smaller than the sum of its proper divisors (139376598240).

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

41216947200 is a wasteful number, since it uses less digits than its factorization.

41216947200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 41216947200 in words is "forty-one billion, two hundred sixteen million, nine hundred forty-seven thousand, two hundred".