4122904968 has 256 divisors, whose sum is σ = 14478912000. Its totient is φ = 1057784832.

The previous prime is 4122904963. The next prime is 4122904987. The reversal of 4122904968 is 8694092214.

It is not an unprimeable number, because it can be changed into a prime (4122904963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 724438 + ... + 730106.

It is an arithmetic number, because the mean of its divisors is an integer number (56558250).

Almost surely, 2^4122904968 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 4122904968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7239456000).

4122904968 is an abundant number, since it is smaller than the sum of its proper divisors (10356007032).

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

4122904968 is a wasteful number, since it uses less digits than its factorization.

4122904968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5741 (or 5731 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 4122904968 is about 64209.8510199175. The cubic root of 4122904968 is about 1603.4956084310.

The spelling of 4122904968 in words is "four billion, one hundred twenty-two million, nine hundred four thousand, nine hundred sixty-eight".