40442320 has 80 divisors (see below), whose sum is σ = 100761408. Its totient is φ = 15042560.

The previous prime is 40442273. The next prime is 40442323. The reversal of 40442320 is 2324404.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40442323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178047 + ... + 178273.

Almost surely, 2^40442320 is an apocalyptic number.

40442320 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 40442320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50380704).

40442320 is an abundant number, since it is smaller than the sum of its proper divisors (60319088).

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

40442320 is a wasteful number, since it uses less digits than its factorization.

40442320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 382 counting only the distinct ones).

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

The square root of 40442320 is about 6359.4276472022. The cubic root of 40442320 is about 343.2511653893.

Adding to 40442320 its reverse (2324404), we get a palindrome (42766724).

It can be divided in two parts, 404 and 42320, that added together give a palindrome (42724).

The spelling of 40442320 in words is "forty million, four hundred forty-two thousand, three hundred twenty".