4021332320 has 96 divisors (see below), whose sum is σ = 10075798656. Its totient is φ = 1511424000.

The previous prime is 4021332253. The next prime is 4021332353. The reversal of 4021332320 is 232331204.

4021332320 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 2×4021332320² = 32342227255753164800, 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 = 4021332292 and 4021332301.

It is a congruent number.

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, 3266105 + ... + 3267335.

It is an arithmetic number, because the mean of its divisors is an integer number (104956236).

Almost surely, 2^4021332320 is an apocalyptic number.

4021332320 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 4021332320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5037899328).

4021332320 is an abundant number, since it is smaller than the sum of its proper divisors (6054466336).

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

4021332320 is a wasteful number, since it uses less digits than its factorization.

4021332320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2464 (or 2456 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 4021332320 is about 63413.9757466759. The cubic root of 4021332320 is about 1590.2179625513.

Adding to 4021332320 its reverse (232331204), we get a palindrome (4253663524).

The spelling of 4021332320 in words is "four billion, twenty-one million, three hundred thirty-two thousand, three hundred twenty".