41633120 has 24 divisors (see below), whose sum is σ = 98358624. Its totient is φ = 16653184.

The previous prime is 41633107. The next prime is 41633129. The reversal of 41633120 is 2133614.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 41633092 and 41633101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41633129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 129944 + ... + 130263.

It is an arithmetic number, because the mean of its divisors is an integer number (4098276).

Almost surely, 2^41633120 is an apocalyptic number.

41633120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41633120 is an abundant number, since it is smaller than the sum of its proper divisors (56725504).

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

41633120 is a wasteful number, since it uses less digits than its factorization.

41633120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260222 (or 260214 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 41633120 is about 6452.3732068131. The cubic root of 41633120 is about 346.5875723565.

Adding to 41633120 its reverse (2133614), we get a palindrome (43766734).

The spelling of 41633120 in words is "forty-one million, six hundred thirty-three thousand, one hundred twenty".