41638400 has 60 divisors (see below), whose sum is σ = 103194102. Its totient is φ = 16650240.

The previous prime is 41638393. The next prime is 41638439. The reversal of 41638400 is 483614.

41638400 is nontrivially palindromic in base 3.

It can be written as a sum of positive squares in 3 ways, for example, as 40347904 + 1290496 = 6352^2 + 1136^2 .

It is a super-3 number, since 3×41638400³ (a number of 24 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 41638400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11174 + ... + 14426.

Almost surely, 2^41638400 is an apocalyptic number.

41638400 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 41638400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51597051).

41638400 is an abundant number, since it is smaller than the sum of its proper divisors (61555702).

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

41638400 is an equidigital number, since it uses as much as digits as its factorization.

41638400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3281 (or 3260 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 41638400 is about 6452.7823456243. The cubic root of 41638400 is about 346.6022233926.

It can be divided in two parts, 4 and 1638400, that multiplied together give a square (6553600 = 2560²).

The spelling of 41638400 in words is "forty-one million, six hundred thirty-eight thousand, four hundred".