41289680 has 40 divisors (see below), whose sum is σ = 97583784. Its totient is φ = 16243200.

The previous prime is 41289673. The next prime is 41289683. The reversal of 41289680 is 8698214.

It can be written as a sum of positive squares in 4 ways, for example, as 1700416 + 39589264 = 1304^2 + 6292^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41289683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 650 + ... + 9110.

Almost surely, 2^41289680 is an apocalyptic number.

41289680 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 41289680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48791892).

41289680 is an abundant number, since it is smaller than the sum of its proper divisors (56294104).

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

41289680 is a wasteful number, since it uses less digits than its factorization.

41289680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8535 (or 8529 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 41289680 is about 6425.7046306222. The cubic root of 41289680 is about 345.6319161340.

The spelling of 41289680 in words is "forty-one million, two hundred eighty-nine thousand, six hundred eighty".