41314102120200 has 768 divisors, whose sum is σ = 161964633600000. Its totient is φ = 8477293178880.

The previous prime is 41314102120171. The next prime is 41314102120211. The reversal of 41314102120200 is 202120141314.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6664636701 + ... + 6664642899.

It is an arithmetic number, because the mean of its divisors is an integer number (210891450000).

Almost surely, 2^{41314102120200} is an apocalyptic number.

41314102120200 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 41314102120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80982316800000).

41314102120200 is an abundant number, since it is smaller than the sum of its proper divisors (120650531479800).

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

41314102120200 is a wasteful number, since it uses less digits than its factorization.

41314102120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9574 (or 9565 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 41314102120200 its reverse (202120141314), we get a palindrome (41516222261514).

The spelling of 41314102120200 in words is "forty-one trillion, three hundred fourteen billion, one hundred two million, one hundred twenty thousand, two hundred".