41440800 has 144 divisors (see below), whose sum is σ = 139491072. Its totient is φ = 10675200.

The previous prime is 41440799. The next prime is 41440801. The reversal of 41440800 is 804414.

It is an interprime number because it is at equal distance from previous prime (41440799) and next prime (41440801).

It is not an unprimeable number, because it can be changed into a prime (41440801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74122 + ... + 74678.

It is an arithmetic number, because the mean of its divisors is an integer number (968688).

Almost surely, 2^41440800 is an apocalyptic number.

41440800 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 41440800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69745536).

41440800 is an abundant number, since it is smaller than the sum of its proper divisors (98050272).

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

41440800 is a wasteful number, since it uses less digits than its factorization.

41440800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 41440800 is about 6437.4529124491. The cubic root of 41440800 is about 346.0530730397.

It can be divided in two parts, 414 and 40800, that added together give a palindrome (41214).

The spelling of 41440800 in words is "forty-one million, four hundred forty thousand, eight hundred".