4266982720 has 504 divisors, whose sum is σ = 14072094792. Its totient is φ = 1220567040.

The previous prime is 4266982679. The next prime is 4266982721. The reversal of 4266982720 is 272896624.

It can be written as a sum of positive squares in 4 ways, for example, as 547934464 + 3719048256 = 23408^2 + 60984^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4266982721) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24664554 + ... + 24664726.

It is an arithmetic number, because the mean of its divisors is an integer number (27920823).

Almost surely, 2^4266982720 is an apocalyptic number.

4266982720 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 4266982720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7036047396).

4266982720 is an abundant number, since it is smaller than the sum of its proper divisors (9805112072).

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

4266982720 is a wasteful number, since it uses less digits than its factorization.

4266982720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 46.

The square root of 4266982720 is about 65322.1457087870. The cubic root of 4266982720 is about 1621.9605790852.

The spelling of 4266982720 in words is "four billion, two hundred sixty-six million, nine hundred eighty-two thousand, seven hundred twenty".