41216000 has 192 divisors, whose sum is σ = 122653440. Its totient is φ = 13516800.

The previous prime is 41215987. The next prime is 41216009. The reversal of 41216000 is 61214.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41216009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1791989 + ... + 1792011.

It is an arithmetic number, because the mean of its divisors is an integer number (638820).

Almost surely, 2^41216000 is an apocalyptic number.

41216000 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 41216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61326720).

41216000 is an abundant number, since it is smaller than the sum of its proper divisors (81437440).

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

41216000 is an equidigital number, since it uses as much as digits as its factorization.

41216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 41216000 is about 6419.9688472764. The cubic root of 41216000 is about 345.4262043399.

Adding to 41216000 its reverse (61214), we get a palindrome (41277214).

The spelling of 41216000 in words is "forty-one million, two hundred sixteen thousand".