40152320 has 144 divisors (see below), whose sum is σ = 109885440. Its totient is φ = 13934592.

The previous prime is 40152293. The next prime is 40152337. The reversal of 40152320 is 2325104.

It is a super-2 number, since 2×40152320² = 3224417602764800, which contains 22 as substring.

It is a congruent number.

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, 316097 + ... + 316223.

Almost surely, 2^40152320 is an apocalyptic number.

40152320 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 40152320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54942720).

40152320 is an abundant number, since it is smaller than the sum of its proper divisors (69733120).

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

40152320 is a wasteful number, since it uses less digits than its factorization.

40152320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 40152320 is about 6336.5858315026. The cubic root of 40152320 is about 342.4287453667.

Adding to 40152320 its reverse (2325104), we get a palindrome (42477424).

The spelling of 40152320 in words is "forty million, one hundred fifty-two thousand, three hundred twenty".