40752960 has 56 divisors (see below), whose sum is σ = 129393696. Its totient is φ = 10867200.

The previous prime is 40752953. The next prime is 40752973. The reversal of 40752960 is 6925704.

40752960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 20266 + ... + 22185.

Almost surely, 2^40752960 is an apocalyptic number.

40752960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40752960 is an abundant number, since it is smaller than the sum of its proper divisors (88640736).

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

40752960 is a wasteful number, since it uses less digits than its factorization.

40752960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42471 (or 42461 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 40752960 is about 6383.8045082850. The cubic root of 40752960 is about 344.1277693756.

The spelling of 40752960 in words is "forty million, seven hundred fifty-two thousand, nine hundred sixty".