4168040 has 32 divisors (see below), whose sum is σ = 9504000. Its totient is φ = 1644864.

The previous prime is 4168001. The next prime is 4168057. The reversal of 4168040 is 408614.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4167997 and 4168015.

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, 2501 + ... + 3819.

It is an arithmetic number, because the mean of its divisors is an integer number (297000).

Almost surely, 2^4168040 is an apocalyptic number.

4168040 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 4168040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4752000).

4168040 is an abundant number, since it is smaller than the sum of its proper divisors (5335960).

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

4168040 is a wasteful number, since it uses less digits than its factorization.

4168040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1409 (or 1405 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 4168040 is about 2041.5778211961. The cubic root of 4168040 is about 160.9325746757.

The spelling of 4168040 in words is "four million, one hundred sixty-eight thousand, forty".