41343148800 has 648 divisors, whose sum is σ = 159952279760. Its totient is φ = 10152345600.

The previous prime is 41343148741. The next prime is 41343148801. The reversal of 41343148800 is 884134314.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (41343148801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40492290 + ... + 40493310.

Almost surely, 2^41343148800 is an apocalyptic number.

41343148800 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 41343148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79976139880).

41343148800 is an abundant number, since it is smaller than the sum of its proper divisors (118609130960).

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

41343148800 is a wasteful number, since it uses less digits than its factorization.

41343148800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 41343148800 in words is "forty-one billion, three hundred forty-three million, one hundred forty-eight thousand, eight hundred".