40056160 has 48 divisors (see below), whose sum is σ = 95860800. Its totient is φ = 15814656.

The previous prime is 40056073. The next prime is 40056167. The reversal of 40056160 is 6165004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40056167) 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, 11056 + ... + 14224.

It is an arithmetic number, because the mean of its divisors is an integer number (1997100).

Almost surely, 2^40056160 is an apocalyptic number.

40056160 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 40056160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47930400).

40056160 is an abundant number, since it is smaller than the sum of its proper divisors (55804640).

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

40056160 is a wasteful number, since it uses less digits than its factorization.

40056160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3263 (or 3255 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 40056160 is about 6328.9936008816. The cubic root of 40056160 is about 342.1551682372.

The spelling of 40056160 in words is "forty million, fifty-six thousand, one hundred sixty".