40002032 has 80 divisors (see below), whose sum is σ = 93297600. Its totient is φ = 16595712.

The previous prime is 40002023. The next prime is 40002041. The reversal of 40002032 is 23020004.

It is an interprime number because it is at equal distance from previous prime (40002023) and next prime (40002041).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 202958 + ... + 203154.

It is an arithmetic number, because the mean of its divisors is an integer number (1166220).

Almost surely, 2^40002032 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 40002032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46648800).

40002032 is an abundant number, since it is smaller than the sum of its proper divisors (53295568).

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

40002032 is a wasteful number, since it uses less digits than its factorization.

40002032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 40002032 is about 6324.7159620018. The cubic root of 40002032 is about 342.0009803558. Note that the first 3 decimals are identical.

Adding to 40002032 its reverse (23020004), we get a palindrome (63022036).

The spelling of 40002032 in words is "forty million, two thousand, thirty-two", and thus it is an eban number.