40458132 has 144 divisors (see below), whose sum is σ = 124750080. Its totient is φ = 10886400.

The previous prime is 40458107. The next prime is 40458149. The reversal of 40458132 is 23185404.

40458132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 40458096 and 40458105.

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 47 ways as a sum of consecutive naturals, for example, 149157 + ... + 149427.

It is an arithmetic number, because the mean of its divisors is an integer number (866320).

Almost surely, 2^40458132 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 40458132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62375040).

40458132 is an abundant number, since it is smaller than the sum of its proper divisors (84291948).

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

40458132 is a wasteful number, since it uses less digits than its factorization.

40458132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 40458132 is about 6360.6707193503. The cubic root of 40458132 is about 343.2958939496.

The spelling of 40458132 in words is "forty million, four hundred fifty-eight thousand, one hundred thirty-two".