4032242120 has 64 divisors (see below), whose sum is σ = 9262693440. Its totient is φ = 1579219200.

The previous prime is 4032242113. The next prime is 4032242131. The reversal of 4032242120 is 212422304.

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 = 4032242092 and 4032242101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1208855 + ... + 1212185.

It is an arithmetic number, because the mean of its divisors is an integer number (144729585).

Almost surely, 2^4032242120 is an apocalyptic number.

4032242120 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 4032242120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4631346720).

4032242120 is an abundant number, since it is smaller than the sum of its proper divisors (5230451320).

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

4032242120 is a wasteful number, since it uses less digits than its factorization.

4032242120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3966 (or 3962 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4032242120 is about 63499.9379527256. The cubic root of 4032242120 is about 1591.6547412951.

Adding to 4032242120 its reverse (212422304), we get a palindrome (4244664424).

The spelling of 4032242120 in words is "four billion, thirty-two million, two hundred forty-two thousand, one hundred twenty".