41200350420000 has 240 divisors, whose sum is σ = 135532694404800. Its totient is φ = 10955273856000.

The previous prime is 41200350419999. The next prime is 41200350420011. The reversal of 41200350420000 is 2405300214.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19956229 + ... + 21923771.

It is an arithmetic number, because the mean of its divisors is an integer number (564719560020).

Almost surely, 2^{41200350420000} is an apocalyptic number.

41200350420000 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 41200350420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67766347202400).

41200350420000 is an abundant number, since it is smaller than the sum of its proper divisors (94332343984800).

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

41200350420000 is a wasteful number, since it uses less digits than its factorization.

41200350420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1967925 (or 1967902 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

Adding to 41200350420000 its reverse (2405300214), we get a palindrome (41202755720214).

The spelling of 41200350420000 in words is "forty-one trillion, two hundred billion, three hundred fifty million, four hundred twenty thousand".