41633640 has 96 divisors (see below), whose sum is σ = 136679400. Its totient is φ = 10990080.

The previous prime is 41633639. The next prime is 41633653. The reversal of 41633640 is 4633614.

41633640 is a `hidden beast` number, since 4 + 16 + 3 + 3 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 38415204 + 3218436 = 6198^2 + 1794^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38710 + ... + 39770.

Almost surely, 2^41633640 is an apocalyptic number.

41633640 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 41633640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68339700).

41633640 is an abundant number, since it is smaller than the sum of its proper divisors (95045760).

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

41633640 is a wasteful number, since it uses less digits than its factorization.

41633640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1187 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 41633640 is about 6452.4135019386. The cubic root of 41633640 is about 346.5890153166.

The spelling of 41633640 in words is "forty-one million, six hundred thirty-three thousand, six hundred forty".