4091171328 has 280 divisors, whose sum is σ = 12491848908. Its totient is φ = 1337720832.

The previous prime is 4091171323. The next prime is 4091171369. The reversal of 4091171328 is 8231711904.

It is a happy number.

4091171328 is a `hidden beast` number, since 409 + 117 + 132 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3605762304 + 485409024 = 60048^2 + 22032^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4091171292 and 4091171301.

It is not an unprimeable number, because it can be changed into a prime (4091171321) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 36205000 + ... + 36205112.

Almost surely, 2^4091171328 is an apocalyptic number.

4091171328 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 4091171328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6245924454).

4091171328 is an abundant number, since it is smaller than the sum of its proper divisors (8400677580).

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

4091171328 is an frugal number, since it uses more digits than its factorization.

4091171328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 4091171328 is about 63962.2648754717. The cubic root of 4091171328 is about 1599.3710194387.

The spelling of 4091171328 in words is "four billion, ninety-one million, one hundred seventy-one thousand, three hundred twenty-eight".