40338064 has 80 divisors (see below), whose sum is σ = 90619200. Its totient is φ = 17238528.

The previous prime is 40338047. The next prime is 40338091. The reversal of 40338064 is 46083304.

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, 233082 + ... + 233254.

It is an arithmetic number, because the mean of its divisors is an integer number (1132740).

Almost surely, 2^40338064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40338064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45309600).

40338064 is an abundant number, since it is smaller than the sum of its proper divisors (50281136).

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

40338064 is a wasteful number, since it uses less digits than its factorization.

40338064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 40338064 is about 6351.2253935756. The cubic root of 40338064 is about 342.9559565714.

The spelling of 40338064 in words is "forty million, three hundred thirty-eight thousand, sixty-four".