41200501200000 has 768 divisors, whose sum is σ = 138144420691200. Its totient is φ = 10878658560000.

The previous prime is 41200501199959. The next prime is 41200501200029. The reversal of 41200501200000 is 210500214.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 93850799781 + ... + 93850800219.

It is an arithmetic number, because the mean of its divisors is an integer number (179875547775).

Almost surely, 2^{41200501200000} is an apocalyptic number.

41200501200000 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 41200501200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69072210345600).

41200501200000 is an abundant number, since it is smaller than the sum of its proper divisors (96943919491200).

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

41200501200000 is an equidigital number, since it uses as much as digits as its factorization.

41200501200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 41200501200000 its reverse (210500214), we get a palindrome (41200711700214).

The spelling of 41200501200000 in words is "forty-one trillion, two hundred billion, five hundred one million, two hundred thousand".