40168120 has 32 divisors (see below), whose sum is σ = 94309920. Its totient is φ = 15368320.

The previous prime is 40168087. The next prime is 40168153. The reversal of 40168120 is 2186104.

40168120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40168087) and next prime (40168153).

It is a super-2 number, since 2×40168120² = 3226955728668800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40168091 and 40168100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20911 + ... + 22750.

It is an arithmetic number, because the mean of its divisors is an integer number (2947185).

Almost surely, 2^40168120 is an apocalyptic number.

40168120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40168120 is an abundant number, since it is smaller than the sum of its proper divisors (54141800).

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

40168120 is a wasteful number, since it uses less digits than its factorization.

40168120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43695 (or 43691 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 40168120 is about 6337.8324370403. The cubic root of 40168120 is about 342.4736548901.

The spelling of 40168120 in words is "forty million, one hundred sixty-eight thousand, one hundred twenty".