4014242120 has 32 divisors (see below), whose sum is σ = 10322337600. Its totient is φ = 1376311488.

The previous prime is 4014242107. The next prime is 4014242137. The reversal of 4014242120 is 212424104.

4014242120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4014242120² = 32228279595964188800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4014242092 and 4014242101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7168010 + ... + 7168569.

It is an arithmetic number, because the mean of its divisors is an integer number (322573050).

Almost surely, 2^4014242120 is an apocalyptic number.

4014242120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4014242120 is an abundant number, since it is smaller than the sum of its proper divisors (6308095480).

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

4014242120 is a wasteful number, since it uses less digits than its factorization.

4014242120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14336597 (or 14336593 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 4014242120 is about 63358.0470027289. The cubic root of 4014242120 is about 1589.2828167281.

Adding to 4014242120 its reverse (212424104), we get a palindrome (4226666224).

The spelling of 4014242120 in words is "four billion, fourteen million, two hundred forty-two thousand, one hundred twenty".