40024320 has 144 divisors (see below), whose sum is σ = 146186880. Its totient is φ = 9142272.

The previous prime is 40024297. The next prime is 40024339. The reversal of 40024320 is 2342004.

It is a happy number.

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 40024320.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26136 + ... + 27624.

Almost surely, 2^40024320 is an apocalyptic number.

40024320 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 40024320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73093440).

40024320 is an abundant number, since it is smaller than the sum of its proper divisors (106162560).

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

40024320 is a wasteful number, since it uses less digits than its factorization.

40024320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 40024320 is about 6326.4776929979. The cubic root of 40024320 is about 342.0644863181.

Adding to 40024320 its reverse (2342004), we get a palindrome (42366324).

The spelling of 40024320 in words is "forty million, twenty-four thousand, three hundred twenty".