40306944 has 72 divisors (see below), whose sum is σ = 110801152. Its totient is φ = 12994560.

The previous prime is 40306939. The next prime is 40306957. The reversal of 40306944 is 44960304.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22962 + ... + 24654.

Almost surely, 2^40306944 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 40306944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55400576).

40306944 is an abundant number, since it is smaller than the sum of its proper divisors (70494208).

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

40306944 is a wasteful number, since it uses less digits than its factorization.

40306944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1743 (or 1729 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 40306944 is about 6348.7749999508. The cubic root of 40306944 is about 342.8677393550.

The spelling of 40306944 in words is "forty million, three hundred six thousand, nine hundred forty-four".