4003201020 has 288 divisors, whose sum is σ = 14166835200. Its totient is φ = 843897600.

The previous prime is 4003200989. The next prime is 4003201031. The reversal of 4003201020 is 201023004.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 4003200987 and 4003201005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3477445 + ... + 3478595.

It is an arithmetic number, because the mean of its divisors is an integer number (49190400).

Almost surely, 2^4003201020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4003201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7083417600).

4003201020 is an abundant number, since it is smaller than the sum of its proper divisors (10163634180).

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

4003201020 is a wasteful number, since it uses less digits than its factorization.

4003201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 4003201020 is about 63270.8544276115. The cubic root of 4003201020 is about 1587.8243809408.

Adding to 4003201020 its reverse (201023004), we get a palindrome (4204224024).

The spelling of 4003201020 in words is "four billion, three million, two hundred one thousand, twenty".