4122279936 has 204 divisors, whose sum is σ = 12370480980. Its totient is φ = 1321205760.

The previous prime is 4122279911. The next prime is 4122279971. The reversal of 4122279936 is 6399722214.

4122279936 = T₅₇₂₈ + T₅₇₂₉ + ... + T₅₉₆₈.

4122279936 is a `hidden beast` number, since 412 + 227 + 9 + 9 + 3 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2647719936 + 1474560000 = 51456^2 + 38400^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4122279891 and 4122279900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17104776 + ... + 17105016.

Almost surely, 2^4122279936 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 4122279936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6185240490).

4122279936 is an abundant number, since it is smaller than the sum of its proper divisors (8248201044).

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

4122279936 is an equidigital number, since it uses as much as digits as its factorization.

4122279936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 275 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 4122279936 is about 64204.9837317945. The cubic root of 4122279936 is about 1603.4145744089.

The spelling of 4122279936 in words is "four billion, one hundred twenty-two million, two hundred seventy-nine thousand, nine hundred thirty-six".