41630400 has 378 divisors, whose sum is σ = 175039020. Its totient is φ = 9354240.

The previous prime is 41630389. The next prime is 41630401. The reversal of 41630400 is 403614.

41630400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (41630401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 705571 + ... + 705629.

Almost surely, 2^41630400 is an apocalyptic number.

41630400 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 41630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87519510).

41630400 is an abundant number, since it is smaller than the sum of its proper divisors (133408620).

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

41630400 is a wasteful number, since it uses less digits than its factorization.

41630400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 41630400 is about 6452.1624282096. The cubic root of 41630400 is about 346.5800243697.

The spelling of 41630400 in words is "forty-one million, six hundred thirty thousand, four hundred".