41200213320 has 768 divisors, whose sum is σ = 174208320000. Its totient is φ = 8388624384.

The previous prime is 41200213289. The next prime is 41200213343. The reversal of 41200213320 is 2331200214.

It is a super-2 number, since 2×41200213320² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 41200213293 and 41200213302.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 39883524 + ... + 39884556.

It is an arithmetic number, because the mean of its divisors is an integer number (226833750).

Almost surely, 2^41200213320 is an apocalyptic number.

41200213320 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 41200213320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87104160000).

41200213320 is an abundant number, since it is smaller than the sum of its proper divisors (133008106680).

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

41200213320 is a wasteful number, since it uses less digits than its factorization.

41200213320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 41200213320 its reverse (2331200214), we get a palindrome (43531413534).

The spelling of 41200213320 in words is "forty-one billion, two hundred million, two hundred thirteen thousand, three hundred twenty".