40965160 has 64 divisors (see below), whose sum is σ = 95172480. Its totient is φ = 15863040.

The previous prime is 40965157. The next prime is 40965161. The reversal of 40965160 is 6156904.

It is not an unprimeable number, because it can be changed into a prime (40965161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 251239 + ... + 251401.

It is an arithmetic number, because the mean of its divisors is an integer number (1487070).

Almost surely, 2^40965160 is an apocalyptic number.

40965160 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 40965160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47586240).

40965160 is an abundant number, since it is smaller than the sum of its proper divisors (54207320).

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

40965160 is a wasteful number, since it uses less digits than its factorization.

40965160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 40965160 is about 6400.4031123047. The cubic root of 40965160 is about 344.7240249054.

The spelling of 40965160 in words is "forty million, nine hundred sixty-five thousand, one hundred sixty".