41214110200 has 144 divisors (see below), whose sum is σ = 99311612400. Its totient is φ = 15896947200.

The previous prime is 41214110173. The next prime is 41214110233. The reversal of 41214110200 is 201141214.

It is a happy number.

41214110200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 93881581 + ... + 93882019.

It is an arithmetic number, because the mean of its divisors is an integer number (689663975).

Almost surely, 2^41214110200 is an apocalyptic number.

41214110200 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 41214110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49655806200).

41214110200 is an abundant number, since it is smaller than the sum of its proper divisors (58097502200).

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

41214110200 is a wasteful number, since it uses less digits than its factorization.

41214110200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 41214110200 its reverse (201141214), we get a palindrome (41415251414).

The spelling of 41214110200 in words is "forty-one billion, two hundred fourteen million, one hundred ten thousand, two hundred".