40116960 has 144 divisors (see below), whose sum is σ = 147498624. Its totient is φ = 9870336.

The previous prime is 40116959. The next prime is 40116977. The reversal of 40116960 is 6961104.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17649 + ... + 19791.

It is an arithmetic number, because the mean of its divisors is an integer number (1024296).

Almost surely, 2^40116960 is an apocalyptic number.

40116960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40116960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73749312).

40116960 is an abundant number, since it is smaller than the sum of its proper divisors (107381664).

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

40116960 is a wasteful number, since it uses less digits than its factorization.

40116960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2177 (or 2166 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 40116960 is about 6333.7950708876. The cubic root of 40116960 is about 342.3281962864.

The spelling of 40116960 in words is "forty million, one hundred sixteen thousand, nine hundred sixty".