41144320 has 156 divisors (see below), whose sum is σ = 117655524. Its totient is φ = 13762560.

The previous prime is 41144303. The next prime is 41144321. The reversal of 41144320 is 2344114.

It can be written as a sum of positive squares in 2 ways, for example, as 7225344 + 33918976 = 2688^2 + 5824^2 .

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41144321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1003500 + ... + 1003540.

Almost surely, 2^41144320 is an apocalyptic number.

41144320 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 41144320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58827762).

41144320 is an abundant number, since it is smaller than the sum of its proper divisors (76511204).

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

41144320 is an equidigital number, since it uses as much as digits as its factorization.

41144320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 41144320 is about 6414.3838363478. The cubic root of 41144320 is about 345.2258410674.

Adding to 41144320 its reverse (2344114), we get a palindrome (43488434).

The spelling of 41144320 in words is "forty-one million, one hundred forty-four thousand, three hundred twenty".