40738464 has 216 divisors, whose sum is σ = 134289792. Its totient is φ = 12130560.

The previous prime is 40738463. The next prime is 40738493. The reversal of 40738464 is 46483704.

40738464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (40738463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1314129 + ... + 1314159.

It is an arithmetic number, because the mean of its divisors is an integer number (621712).

Almost surely, 2^40738464 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 40738464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67144896).

40738464 is an abundant number, since it is smaller than the sum of its proper divisors (93551328).

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

40738464 is a wasteful number, since it uses less digits than its factorization.

40738464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 40738464 is about 6382.6690341894. The cubic root of 40738464 is about 344.0869619698.

The spelling of 40738464 in words is "forty million, seven hundred thirty-eight thousand, four hundred sixty-four".