41445600 has 144 divisors (see below), whose sum is σ = 154240128. Its totient is φ = 9469440.

The previous prime is 41445589. The next prime is 41445601. The reversal of 41445600 is 654414.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41445601) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 15567 + ... + 18033.

It is an arithmetic number, because the mean of its divisors is an integer number (1071112).

Almost surely, 2^41445600 is an apocalyptic number.

41445600 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 41445600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77120064).

41445600 is an abundant number, since it is smaller than the sum of its proper divisors (112794528).

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

41445600 is a wasteful number, since it uses less digits than its factorization.

41445600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2497 (or 2484 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 41445600 is about 6437.8257199151. The cubic root of 41445600 is about 346.0664333885.

The spelling of 41445600 in words is "forty-one million, four hundred forty-five thousand, six hundred".