40332992 has 56 divisors (see below), whose sum is σ = 92134944. Its totient is φ = 17160192.

The previous prime is 40332967. The next prime is 40333009. The reversal of 40332992 is 29923304.

40332992 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 (56).

It is a Harshad number since it is a multiple of its sum of digits (32).

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 7 ways as a sum of consecutive naturals, for example, 88028 + ... + 88484.

Almost surely, 2^40332992 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 40332992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46067472).

40332992 is an abundant number, since it is smaller than the sum of its proper divisors (51801952).

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

40332992 is a wasteful number, since it uses less digits than its factorization.

40332992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 32.

The square root of 40332992 is about 6350.8260879983. The cubic root of 40332992 is about 342.9415818481.

The spelling of 40332992 in words is "forty million, three hundred thirty-two thousand, nine hundred ninety-two".