4122616720 has 20 divisors (see below), whose sum is σ = 9585084060. Its totient is φ = 1649046656.

The previous prime is 4122616709. The next prime is 4122616721. The reversal of 4122616720 is 276162214.

4122616720 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 2 ways, for example, as 3254017936 + 868598784 = 57044^2 + 29472^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (4122616721) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25766275 + ... + 25766434.

It is an arithmetic number, because the mean of its divisors is an integer number (479254203).

Almost surely, 2^4122616720 is an apocalyptic number.

4122616720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4122616720 is an abundant number, since it is smaller than the sum of its proper divisors (5462467340).

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

4122616720 is a wasteful number, since it uses less digits than its factorization.

4122616720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51532722 (or 51532716 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 4122616720 is about 64207.6064029800. The cubic root of 4122616720 is about 1603.4582387303.

Adding to 4122616720 its reverse (276162214), we get a palindrome (4398778934).

The spelling of 4122616720 in words is "four billion, one hundred twenty-two million, six hundred sixteen thousand, seven hundred twenty".