40416960 has 56 divisors (see below), whose sum is σ = 128326896. Its totient is φ = 10777600.

The previous prime is 40416931. The next prime is 40416967. The reversal of 40416960 is 6961404.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (40416967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20091 + ... + 22010.

Almost surely, 2^40416960 is an apocalyptic number.

40416960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40416960 is an abundant number, since it is smaller than the sum of its proper divisors (87909936).

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

40416960 is a wasteful number, since it uses less digits than its factorization.

40416960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42121 (or 42111 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 40416960 is about 6357.4334444019. The cubic root of 40416960 is about 343.1794033531.

The spelling of 40416960 in words is "forty million, four hundred sixteen thousand, nine hundred sixty".