40444560 has 240 divisors, whose sum is σ = 152334000. Its totient is φ = 9547776.

The previous prime is 40444543. The next prime is 40444567. The reversal of 40444560 is 6544404.

It can be written as a sum of positive squares in 8 ways, for example, as 8363664 + 32080896 = 2892^2 + 5664^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40444567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 271366 + ... + 271514.

It is an arithmetic number, because the mean of its divisors is an integer number (634725).

Almost surely, 2^40444560 is an apocalyptic number.

40444560 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 40444560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76167000).

40444560 is an abundant number, since it is smaller than the sum of its proper divisors (111889440).

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

40444560 is a wasteful number, since it uses less digits than its factorization.

40444560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 40444560 is about 6359.6037612417. The cubic root of 40444560 is about 343.2575025498.

Adding to 40444560 its reverse (6544404), we get a palindrome (46988964).

The spelling of 40444560 in words is "forty million, four hundred forty-four thousand, five hundred sixty".