41201680 has 80 divisors (see below), whose sum is σ = 104212080. Its totient is φ = 15058944.

The previous prime is 41201669. The next prime is 41201689. The reversal of 41201680 is 8610214.

It can be written as a sum of positive squares in 8 ways, for example, as 2214144 + 38987536 = 1488^2 + 6244^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (41201689) 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, 179806 + ... + 180034.

It is an arithmetic number, because the mean of its divisors is an integer number (1302651).

Almost surely, 2^41201680 is an apocalyptic number.

41201680 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 41201680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52106040).

41201680 is an abundant number, since it is smaller than the sum of its proper divisors (63010400).

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

41201680 is a wasteful number, since it uses less digits than its factorization.

41201680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 41201680 is about 6418.8534801785. The cubic root of 41201680 is about 345.3861949890.

Adding to 41201680 its reverse (8610214), we get a palindrome (49811894).

The spelling of 41201680 in words is "forty-one million, two hundred one thousand, six hundred eighty".