41314100220 has 120 divisors (see below), whose sum is σ = 129947756400. Its totient is φ = 10987861248.

The previous prime is 41314100209. The next prime is 41314100227. The reversal of 41314100220 is 2200141314.

41314100220 is a `hidden beast` number, since 4 + 1 + 31 + 410 + 0 + 220 = 666.

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 = 41314100193 and 41314100202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41314100227) 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 39 ways as a sum of consecutive naturals, for example, 580336 + ... + 647624.

It is an arithmetic number, because the mean of its divisors is an integer number (1082897970).

Almost surely, 2^41314100220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41314100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64973878200).

41314100220 is an abundant number, since it is smaller than the sum of its proper divisors (88633656180).

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

41314100220 is a wasteful number, since it uses less digits than its factorization.

41314100220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67689 (or 67678 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 41314100220 its reverse (2200141314), we get a palindrome (43514241534).

The spelling of 41314100220 in words is "forty-one billion, three hundred fourteen million, one hundred thousand, two hundred twenty".