4045120 has 28 divisors (see below), whose sum is σ = 9633204. Its totient is φ = 1617920.

The previous prime is 4045117. The next prime is 4045121. The reversal of 4045120 is 215404.

4045120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 419904 + 3625216 = 648^2 + 1904^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 4045094 and 4045103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4045121) by changing a digit.

It is a nontrivial repunit in base 159.

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 3 ways as a sum of consecutive naturals, for example, 6001 + ... + 6640.

It is an arithmetic number, because the mean of its divisors is an integer number (344043).

Almost surely, 2^4045120 is an apocalyptic number.

4045120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4045120 is an abundant number, since it is smaller than the sum of its proper divisors (5588084).

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

4045120 is a wasteful number, since it uses less digits than its factorization.

4045120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12658 (or 12648 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 4045120 is about 2011.2483685512. The cubic root of 4045120 is about 159.3347377470.

The spelling of 4045120 in words is "four million, forty-five thousand, one hundred twenty".