4017766128 has 80 divisors (see below), whose sum is σ = 11010295296. Its totient is φ = 1258122240.

The previous prime is 4017766127. The next prime is 4017766147. The reversal of 4017766128 is 8216677104.

It is a super-2 number, since 2×4017766128² = 32284889318608224768, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4017766128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4017766127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 461625 + ... + 470247.

Almost surely, 2^4017766128 is an apocalyptic number.

4017766128 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 4017766128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5505147648).

4017766128 is an abundant number, since it is smaller than the sum of its proper divisors (6992529168).

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

4017766128 is a wasteful number, since it uses less digits than its factorization.

4017766128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9222 (or 9216 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The square root of 4017766128 is about 63385.8511656979. The cubic root of 4017766128 is about 1589.7477452750.

The spelling of 4017766128 in words is "four billion, seventeen million, seven hundred sixty-six thousand, one hundred twenty-eight".