40033320 has 64 divisors (see below), whose sum is σ = 120960000. Its totient is φ = 10599168.

The previous prime is 40033309. The next prime is 40033333. The reversal of 40033320 is 2333004.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 40033320.

It is an unprimeable number.

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, 16761 + ... + 18999.

It is an arithmetic number, because the mean of its divisors is an integer number (1890000).

Almost surely, 2^40033320 is an apocalyptic number.

40033320 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 40033320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60480000).

40033320 is an abundant number, since it is smaller than the sum of its proper divisors (80926680).

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

40033320 is a wasteful number, since it uses less digits than its factorization.

40033320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2402 (or 2398 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

The square root of 40033320 is about 6327.1889492886. The cubic root of 40033320 is about 342.0901236444.

Adding to 40033320 its reverse (2333004), we get a palindrome (42366324).

The spelling of 40033320 in words is "forty million, thirty-three thousand, three hundred twenty".