40288032 has 72 divisors (see below), whose sum is σ = 116560080. Its totient is φ = 13196160.

The previous prime is 40288021. The next prime is 40288051. The reversal of 40288032 is 23088204.

40288032 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 junction number, because it is equal to n+sod(n) for n = 40287987 and 40288005.

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, 15807 + ... + 18177.

It is an arithmetic number, because the mean of its divisors is an integer number (1618890).

Almost surely, 2^40288032 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 40288032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58280040).

40288032 is an abundant number, since it is smaller than the sum of its proper divisors (76272048).

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

40288032 is a wasteful number, since it uses less digits than its factorization.

40288032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2446 (or 2435 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 40288032 is about 6347.2854040133. The cubic root of 40288032 is about 342.8141065029.

The spelling of 40288032 in words is "forty million, two hundred eighty-eight thousand, thirty-two".