41114410000 has 100 divisors (see below), whose sum is σ = 99722300524. Its totient is φ = 16416000000.

The previous prime is 41114409991. The next prime is 41114410003. The reversal of 41114410000 is 1441114.

It can be written as a sum of positive squares in 10 ways, for example, as 18934860816 + 22179549184 = 137604^2 + 148928^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (41114410003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6006580 + ... + 6013420.

Almost surely, 2^41114410000 is an apocalyptic number.

41114410000 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 41114410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49861150262).

41114410000 is an abundant number, since it is smaller than the sum of its proper divisors (58607890524).

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

41114410000 is an equidigital number, since it uses as much as digits as its factorization.

41114410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7470 (or 7449 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 41114410000 its reverse (1441114), we get a palindrome (41115851114).

The spelling of 41114410000 in words is "forty-one billion, one hundred fourteen million, four hundred ten thousand".