41314204200 has 192 divisors, whose sum is σ = 136716249600. Its totient is φ = 10290067200.

The previous prime is 41314204193. The next prime is 41314204213. The reversal of 41314204200 is 240241314.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 783879 + ... + 834921.

It is an arithmetic number, because the mean of its divisors is an integer number (712063800).

Almost surely, 2^41314204200 is an apocalyptic number.

41314204200 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 41314204200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68358124800).

41314204200 is an abundant number, since it is smaller than the sum of its proper divisors (95402045400).

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

41314204200 is a wasteful number, since it uses less digits than its factorization.

41314204200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51152 (or 51143 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 41314204200 its reverse (240241314), we get a palindrome (41554445514).

The spelling of 41314204200 in words is "forty-one billion, three hundred fourteen million, two hundred four thousand, two hundred".