4101689328 has 80 divisors (see below), whose sum is σ = 11569354752. Its totient is φ = 1241856000.

The previous prime is 4101689321. The next prime is 4101689341. The reversal of 4101689328 is 8239861014.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 4101689328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4101689321) 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, 774048 + ... + 779328.

Almost surely, 2^4101689328 is an apocalyptic number.

4101689328 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 4101689328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5784677376).

4101689328 is an abundant number, since it is smaller than the sum of its proper divisors (7467665424).

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

4101689328 is a wasteful number, since it uses less digits than its factorization.

4101689328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6774 (or 6768 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 4101689328 is about 64044.4324512287. The cubic root of 4101689328 is about 1600.7404551926.

The spelling of 4101689328 in words is "four billion, one hundred one million, six hundred eighty-nine thousand, three hundred twenty-eight".