40685120 has 112 divisors (see below), whose sum is σ = 113678208. Its totient is φ = 13578240.

The previous prime is 40685083. The next prime is 40685129. The reversal of 40685120 is 2158604.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 40685120.

It is not an unprimeable number, because it can be changed into a prime (40685129) 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 15 ways as a sum of consecutive naturals, for example, 91619 + ... + 92061.

It is an arithmetic number, because the mean of its divisors is an integer number (1014984).

Almost surely, 2^40685120 is an apocalyptic number.

40685120 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 40685120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56839104).

40685120 is an abundant number, since it is smaller than the sum of its proper divisors (72993088).

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

40685120 is a wasteful number, since it uses less digits than its factorization.

40685120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 40685120 is about 6378.4888492495. The cubic root of 40685120 is about 343.9367109095.

The spelling of 40685120 in words is "forty million, six hundred eighty-five thousand, one hundred twenty".