40033224 has 256 divisors, whose sum is σ = 145152000. Its totient is φ = 9918720.

The previous prime is 40033219. The next prime is 40033229. The reversal of 40033224 is 42233004.

40033224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40033219) and next prime (40033229).

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

It is a junction number, because it is equal to n+sod(n) for n = 40033197 and 40033206.

It is not an unprimeable number, because it can be changed into a prime (40033229) 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 63 ways as a sum of consecutive naturals, for example, 482287 + ... + 482369.

It is an arithmetic number, because the mean of its divisors is an integer number (567000).

Almost surely, 2^40033224 is an apocalyptic number.

40033224 is a gapful number since it is divisible by the number (44) 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 40033224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72576000).

40033224 is an abundant number, since it is smaller than the sum of its proper divisors (105118776).

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

40033224 is a wasteful number, since it uses less digits than its factorization.

40033224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 40033224 is about 6327.1813629767. The cubic root of 40033224 is about 342.0898501998.

Adding to 40033224 its reverse (42233004), we get a palindrome (82266228).

It can be divided in two parts, 4003 and 3224, that added together give a palindrome (7227).

The spelling of 40033224 in words is "forty million, thirty-three thousand, two hundred twenty-four".