41412420200 has 96 divisors (see below), whose sum is σ = 99010805760. Its totient is φ = 16096953600.

The previous prime is 41412420169. The next prime is 41412420221. The reversal of 41412420200 is 202421414.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 23 ways as a sum of consecutive naturals, for example, 6738329 + ... + 6744471.

It is an arithmetic number, because the mean of its divisors is an integer number (1031362560).

Almost surely, 2^41412420200 is an apocalyptic number.

41412420200 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 41412420200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49505402880).

41412420200 is an abundant number, since it is smaller than the sum of its proper divisors (57598385560).

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

41412420200 is a wasteful number, since it uses less digits than its factorization.

41412420200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7107 (or 7098 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 41412420200 its reverse (202421414), we get a palindrome (41614841614).

The spelling of 41412420200 in words is "forty-one billion, four hundred twelve million, four hundred twenty thousand, two hundred".