40084032 has 112 divisors (see below), whose sum is σ = 114848640. Its totient is φ = 12300288.

The previous prime is 40084001. The next prime is 40084039. The reversal of 40084032 is 23048004.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (40084039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127908 + ... + 128220.

Almost surely, 2^40084032 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 40084032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57424320).

40084032 is an abundant number, since it is smaller than the sum of its proper divisors (74764608).

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

40084032 is a wasteful number, since it uses less digits than its factorization.

40084032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 40084032 is about 6331.1951478374. The cubic root of 40084032 is about 342.2345096567.

The spelling of 40084032 in words is "forty million, eighty-four thousand, thirty-two".