40536320 has 72 divisors (see below), whose sum is σ = 105960960. Its totient is φ = 14735360.

The previous prime is 40536319. The next prime is 40536323. The reversal of 40536320 is 2363504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40536323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12641 + ... + 15519.

It is an arithmetic number, because the mean of its divisors is an integer number (1471680).

Almost surely, 2^40536320 is an apocalyptic number.

40536320 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 40536320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52980480).

40536320 is an abundant number, since it is smaller than the sum of its proper divisors (65424640).

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

40536320 is a wasteful number, since it uses less digits than its factorization.

40536320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2911 (or 2897 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

The square root of 40536320 is about 6366.8139599018. The cubic root of 40536320 is about 343.5168989368.

Adding to 40536320 its reverse (2363504), we get a palindrome (42899824).

The spelling of 40536320 in words is "forty million, five hundred thirty-six thousand, three hundred twenty".