41313406200 has 384 divisors, whose sum is σ = 148490496000. Its totient is φ = 9396518400.

The previous prime is 41313406139. The next prime is 41313406207. The reversal of 41313406200 is 260431314.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41313406207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13416261 + ... + 13419339.

It is an arithmetic number, because the mean of its divisors is an integer number (386694000).

Almost surely, 2^41313406200 is an apocalyptic number.

41313406200 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 41313406200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74245248000).

41313406200 is an abundant number, since it is smaller than the sum of its proper divisors (107177089800).

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

41313406200 is a wasteful number, since it uses less digits than its factorization.

41313406200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3235 (or 3226 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 41313406200 its reverse (260431314), we get a palindrome (41573837514).

The spelling of 41313406200 in words is "forty-one billion, three hundred thirteen million, four hundred six thousand, two hundred".