41148800 has 192 divisors, whose sum is σ = 127491840. Its totient is φ = 12748800.

The previous prime is 41148799. The next prime is 41148839. The reversal of 41148800 is 884114.

It is a self number, because there is not a number n which added to its sum of digits gives 41148800.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 246317 + ... + 246483.

It is an arithmetic number, because the mean of its divisors is an integer number (664020).

Almost surely, 2^41148800 is an apocalyptic number.

41148800 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 41148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63745920).

41148800 is an abundant number, since it is smaller than the sum of its proper divisors (86343040).

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

41148800 is a wasteful number, since it uses less digits than its factorization.

41148800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The square root of 41148800 is about 6414.7330419901. The cubic root of 41148800 is about 345.2383705866.

It can be divided in two parts, 41 and 148800, that added together give a palindrome (148841).

The spelling of 41148800 in words is "forty-one million, one hundred forty-eight thousand, eight hundred".