4002424120 has 128 divisors (see below), whose sum is σ = 9676247040. Its totient is φ = 1486425600.

The previous prime is 4002424117. The next prime is 4002424147. The reversal of 4002424120 is 214242004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6528934 + ... + 6529546.

It is an arithmetic number, because the mean of its divisors is an integer number (75595680).

Almost surely, 2^4002424120 is an apocalyptic number.

4002424120 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 4002424120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4838123520).

4002424120 is an abundant number, since it is smaller than the sum of its proper divisors (5673822920).

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

4002424120 is a wasteful number, since it uses less digits than its factorization.

4002424120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 4002424120 is about 63264.7146520080. The cubic root of 4002424120 is about 1587.7216580978.

Adding to 4002424120 its reverse (214242004), we get a palindrome (4216666124).

The spelling of 4002424120 in words is "four billion, two million, four hundred twenty-four thousand, one hundred twenty".