41444640 has 144 divisors (see below), whose sum is σ = 149837688. Its totient is φ = 10395648.

The previous prime is 41444633. The next prime is 41444651. The reversal of 41444640 is 4644414.

41444640 is a `hidden beast` number, since 4 + 14 + 4 + 4 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 35856144 + 5588496 = 5988^2 + 2364^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23634 + ... + 25326.

Almost surely, 2^41444640 is an apocalyptic number.

41444640 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 41444640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74918844).

41444640 is an abundant number, since it is smaller than the sum of its proper divisors (108393048).

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

41444640 is a wasteful number, since it uses less digits than its factorization.

41444640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1731 (or 1720 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 41444640 is about 6437.7511601490. The cubic root of 41444640 is about 346.0637614012.

It can be divided in two parts, 414 and 44640, that added together give a palindrome (45054).

The spelling of 41444640 in words is "forty-one million, four hundred forty-four thousand, six hundred forty".