4024004120 has 32 divisors (see below), whose sum is σ = 9083149920. Its totient is φ = 1604421120.

The previous prime is 4024004099. The next prime is 4024004137. The reversal of 4024004120 is 214004204.

It is a super-3 number, since 3×4024004120³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 149297 + ... + 174176.

It is an arithmetic number, because the mean of its divisors is an integer number (283848435).

Almost surely, 2^4024004120 is an apocalyptic number.

4024004120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4024004120 is an abundant number, since it is smaller than the sum of its proper divisors (5059145800).

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

4024004120 is a wasteful number, since it uses less digits than its factorization.

4024004120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323795 (or 323791 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 4024004120 is about 63435.0385827896. The cubic root of 4024004120 is about 1590.5700683873.

Adding to 4024004120 its reverse (214004204), we get a palindrome (4238008324).

The spelling of 4024004120 in words is "four billion, twenty-four million, four thousand, one hundred twenty".