40788960 has 48 divisors (see below), whose sum is σ = 128486736. Its totient is φ = 10876928.

The previous prime is 40788947. The next prime is 40788989. The reversal of 40788960 is 6988704.

It is a happy number.

40788960 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 (48).

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 7 ways as a sum of consecutive naturals, for example, 42009 + ... + 42968.

It is an arithmetic number, because the mean of its divisors is an integer number (2676807).

Almost surely, 2^40788960 is an apocalyptic number.

40788960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40788960 is an abundant number, since it is smaller than the sum of its proper divisors (87697776).

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

40788960 is a wasteful number, since it uses less digits than its factorization.

40788960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84995 (or 84987 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 40788960 is about 6386.6235210790. The cubic root of 40788960 is about 344.2290704310.

The spelling of 40788960 in words is "forty million, seven hundred eighty-eight thousand, nine hundred sixty".