4065938688 has 216 divisors, whose sum is σ = 13142527552. Its totient is φ = 1092943872.

The previous prime is 4065938647. The next prime is 4065938693. The reversal of 4065938688 is 8868395604.

It is a super-2 number, since 2×4065938688² = 33063714829150322688, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1552356 + ... + 1554972.

Almost surely, 2^4065938688 is an apocalyptic number.

4065938688 is a gapful number since it is divisible by the number (48) 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 4065938688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6571263776).

4065938688 is an abundant number, since it is smaller than the sum of its proper divisors (9076588864).

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

4065938688 is a wasteful number, since it uses less digits than its factorization.

4065938688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2677 (or 2646 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 57.

The square root of 4065938688 is about 63764.7135020616. The cubic root of 4065938688 is about 1596.0761516670.

The spelling of 4065938688 in words is "four billion, sixty-five million, nine hundred thirty-eight thousand, six hundred eighty-eight".