4140004120 has 192 divisors, whose sum is σ = 11378914560. Its totient is φ = 1349913600.

The previous prime is 4140004097. The next prime is 4140004133. The reversal of 4140004120 is 214000414.

It is a super-2 number, since 2×4140004120² = 34279268227233948800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4140004094 and 4140004103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3705802 + ... + 3706918.

It is an arithmetic number, because the mean of its divisors is an integer number (59265180).

Almost surely, 2^4140004120 is an apocalyptic number.

4140004120 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 4140004120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5689457280).

4140004120 is an abundant number, since it is smaller than the sum of its proper divisors (7238910440).

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

4140004120 is a wasteful number, since it uses less digits than its factorization.

4140004120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 4140004120 is about 64342.8637845721. The cubic root of 4140004120 is about 1605.7093062816.

Adding to 4140004120 its reverse (214000414), we get a palindrome (4354004534).

The spelling of 4140004120 in words is "four billion, one hundred forty million, four thousand, one hundred twenty".