40338720 has 144 divisors (see below), whose sum is σ = 139459320. Its totient is φ = 10616832.

The previous prime is 40338707. The next prime is 40338731. The reversal of 40338720 is 2783304.

It can be written as a sum of positive squares in 4 ways, for example, as 40297104 + 41616 = 6348^2 + 204^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 156832 + ... + 157088.

Almost surely, 2^40338720 is an apocalyptic number.

40338720 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 40338720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69729660).

40338720 is an abundant number, since it is smaller than the sum of its proper divisors (99120600).

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

40338720 is a wasteful number, since it uses less digits than its factorization.

40338720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 40338720 is about 6351.2770369430. The cubic root of 40338720 is about 342.9578156747.

The spelling of 40338720 in words is "forty million, three hundred thirty-eight thousand, seven hundred twenty".