41311440 has 120 divisors (see below), whose sum is σ = 139944168. Its totient is φ = 10920960.

The previous prime is 41311409. The next prime is 41311447. The reversal of 41311440 is 4411314.

41311440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3415104 + 37896336 = 1848^2 + 6156^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41311447) 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 23 ways as a sum of consecutive naturals, for example, 130162 + ... + 130478.

Almost surely, 2^41311440 is an apocalyptic number.

41311440 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 41311440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69972084).

41311440 is an abundant number, since it is smaller than the sum of its proper divisors (98632728).

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

41311440 is a wasteful number, since it uses less digits than its factorization.

41311440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 508 counting only the distinct ones).

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

The square root of 41311440 is about 6427.3976071191. The cubic root of 41311440 is about 345.6926224225.

Adding to 41311440 its reverse (4411314), we get a palindrome (45722754).

The spelling of 41311440 in words is "forty-one million, three hundred eleven thousand, four hundred forty".