41144442240 has 256 divisors, whose sum is σ = 150601939200. Its totient is φ = 9449349120.

The previous prime is 41144442211. The next prime is 41144442247. The reversal of 41144442240 is 4224444114.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 41144442198 and 41144442207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41144442247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 350014 + ... + 452546.

It is an arithmetic number, because the mean of its divisors is an integer number (588288825).

Almost surely, 2^41144442240 is an apocalyptic number.

41144442240 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 41144442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75300969600).

41144442240 is an abundant number, since it is smaller than the sum of its proper divisors (109457496960).

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

41144442240 is a wasteful number, since it uses less digits than its factorization.

41144442240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102585 (or 102573 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 41144442240 its reverse (4224444114), we get a palindrome (45368886354).

It can be divided in two parts, 41144 and 442240, that added together give a palindrome (483384).

The spelling of 41144442240 in words is "forty-one billion, one hundred forty-four million, four hundred forty-two thousand, two hundred forty".