40034016 has 72 divisors (see below), whose sum is σ = 124206264. Its totient is φ = 12130560.

The previous prime is 40033967. The next prime is 40034021. The reversal of 40034016 is 61043004.

40034016 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 (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 40034016.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 3151 + ... + 9486.

It is an arithmetic number, because the mean of its divisors is an integer number (1725087).

Almost surely, 2^40034016 is an apocalyptic number.

It is an amenable number.

40034016 is an abundant number, since it is smaller than the sum of its proper divisors (84172248).

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

40034016 is a wasteful number, since it uses less digits than its factorization.

40034016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12664 (or 12653 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 40034016 is about 6327.2439497778. The cubic root of 40034016 is about 342.0921061042.

The spelling of 40034016 in words is "forty million, thirty-four thousand, sixteen".