40443040 has 72 divisors (see below), whose sum is σ = 105072660. Its totient is φ = 14699520.

The previous prime is 40443019. The next prime is 40443041. The reversal of 40443040 is 4034404.

It can be written as a sum of positive squares in 2 ways, for example, as 39589264 + 853776 = 6292^2 + 924^2 .

It is a junction number, because it is equal to n+sod(n) for n = 40442999 and 40443017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40443041) 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, 18316 + ... + 20404.

Almost surely, 2^40443040 is an apocalyptic number.

40443040 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 40443040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52536330).

40443040 is an abundant number, since it is smaller than the sum of its proper divisors (64629620).

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

40443040 is a wasteful number, since it uses less digits than its factorization.

40443040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2126 (or 2107 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 40443040 is about 6359.4842558182. The cubic root of 40443040 is about 343.2532023593.

Adding to 40443040 its reverse (4034404), we get a palindrome (44477444).

The spelling of 40443040 in words is "forty million, four hundred forty-three thousand, forty".