41113141344 has 144 divisors (see below), whose sum is σ = 129951201744. Its totient is φ = 12223411200.

The previous prime is 41113141339. The next prime is 41113141351. The reversal of 41113141344 is 44314131114.

41113141344 is a `hidden beast` number, since 4 + 1 + 1 + 1 + 314 + 1 + 344 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45474 + ... + 290334.

It is an arithmetic number, because the mean of its divisors is an integer number (902438901).

Almost surely, 2^41113141344 is an apocalyptic number.

41113141344 is a gapful number since it is divisible by the number (44) 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 41113141344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64975600872).

41113141344 is an abundant number, since it is smaller than the sum of its proper divisors (88838060400).

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

41113141344 is a wasteful number, since it uses less digits than its factorization.

41113141344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244941 (or 244930 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

Adding to 41113141344 its reverse (44314131114), we get a palindrome (85427272458).

The spelling of 41113141344 in words is "forty-one billion, one hundred thirteen million, one hundred forty-one thousand, three hundred forty-four".