4122840320 has 72 divisors (see below), whose sum is σ = 10061986536. Its totient is φ = 1617993728.

The previous prime is 4122840313. The next prime is 4122840347. The reversal of 4122840320 is 230482214.

4122840320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1458628864 + 2664211456 = 38192^2 + 51616^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4122840320.

It is a congruent number.

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, 37454 + ... + 98226.

It is an arithmetic number, because the mean of its divisors is an integer number (139749813).

Almost surely, 2^4122840320 is an apocalyptic number.

4122840320 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 4122840320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5030993268).

4122840320 is an abundant number, since it is smaller than the sum of its proper divisors (5939146216).

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

4122840320 is an equidigital number, since it uses as much as digits as its factorization.

4122840320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60847 (or 60833 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 4122840320 is about 64209.3476060924. The cubic root of 4122840320 is about 1603.4872273400.

The spelling of 4122840320 in words is "four billion, one hundred twenty-two million, eight hundred forty thousand, three hundred twenty".