4009268736 has 480 divisors, whose sum is σ = 13941607680. Its totient is φ = 1094860800.

The previous prime is 4009268693. The next prime is 4009268741. The reversal of 4009268736 is 6378629004.

It is a super-3 number, since 3×4009268736³ (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4009268691 and 4009268700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22150566 + ... + 22150746.

It is an arithmetic number, because the mean of its divisors is an integer number (29045016).

Almost surely, 2^4009268736 is an apocalyptic number.

4009268736 is a gapful number since it is divisible by the number (46) 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 4009268736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6970803840).

4009268736 is an abundant number, since it is smaller than the sum of its proper divisors (9932338944).

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

4009268736 is a wasteful number, since it uses less digits than its factorization.

4009268736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 4009268736 is about 63318.7865960806. The cubic root of 4009268736 is about 1588.6262062587.

The spelling of 4009268736 in words is "four billion, nine million, two hundred sixty-eight thousand, seven hundred thirty-six".