41845600 has 72 divisors (see below), whose sum is σ = 107571240. Its totient is φ = 15851520.

The previous prime is 41845597. The next prime is 41845603. The reversal of 41845600 is 654814.

It is an interprime number because it is at equal distance from previous prime (41845597) and next prime (41845603).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41845603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13824 + ... + 16576.

It is an arithmetic number, because the mean of its divisors is an integer number (1494045).

Almost surely, 2^41845600 is an apocalyptic number.

41845600 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 41845600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53785620).

41845600 is an abundant number, since it is smaller than the sum of its proper divisors (65725640).

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

41845600 is a wasteful number, since it uses less digits than its factorization.

41845600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2792 (or 2779 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 41845600 is about 6468.8175117250. The cubic root of 41845600 is about 347.1761902592.

The spelling of 41845600 in words is "forty-one million, eight hundred forty-five thousand, six hundred".