41120800 has 108 divisors (see below), whose sum is σ = 116887050. Its totient is φ = 14085120.

The previous prime is 41120797. The next prime is 41120831. The reversal of 41120800 is 802114.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 37601424 + 3519376 = 6132^2 + 1876^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

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 17 ways as a sum of consecutive naturals, for example, 38676 + ... + 39724.

Almost surely, 2^41120800 is an apocalyptic number.

41120800 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 41120800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58443525).

41120800 is an abundant number, since it is smaller than the sum of its proper divisors (75766250).

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

41120800 is a wasteful number, since it uses less digits than its factorization.

41120800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 41120800 is about 6412.5501947353. The cubic root of 41120800 is about 345.1600461657.

Adding to 41120800 its reverse (802114), we get a palindrome (41922914).

The spelling of 41120800 in words is "forty-one million, one hundred twenty thousand, eight hundred".