41485600 has 72 divisors (see below), whose sum is σ = 109094580. Its totient is φ = 15313920.

The previous prime is 41485597. The next prime is 41485637. The reversal of 41485600 is 658414.

It can be written as a sum of positive squares in 6 ways, for example, as 7333264 + 34152336 = 2708^2 + 5844^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8406 + ... + 12394.

Almost surely, 2^41485600 is an apocalyptic number.

41485600 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 41485600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54547290).

41485600 is an abundant number, since it is smaller than the sum of its proper divisors (67608980).

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

41485600 is a wasteful number, since it uses less digits than its factorization.

41485600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4022 (or 4009 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 41485600 is about 6440.9316096354. The cubic root of 41485600 is about 346.1777295328.

The spelling of 41485600 in words is "forty-one million, four hundred eighty-five thousand, six hundred".