4075916328 has 512 divisors, whose sum is σ = 14183424000. Its totient is φ = 1068318720.

The previous prime is 4075916303. The next prime is 4075916333. The reversal of 4075916328 is 8236195704.

4075916328 is a `hidden beast` number, since 4 + 0 + 7 + 5 + 9 + 1 + 632 + 8 = 666.

4075916328 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

4075916328 is a nontrivial binomial coefficient, being equal to C(90288, 2).

It is a super-2 number, since 2×4075916328² = 33226187825714007168, which contains 22 as substring.

4075916328 is strictly pandigital in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 36070000 + ... + 36070112.

It is an arithmetic number, because the mean of its divisors is an integer number (27702000).

It is a 1-persistent number, because it is pandigital, but 2⋅4075916328 = 8151832656 is not.

Almost surely, 2^4075916328 is an apocalyptic number.

4075916328 is the 90287-th triangular number and also the 45144-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4075916328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7091712000).

4075916328 is an abundant number, since it is smaller than the sum of its proper divisors (10107507672).

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

4075916328 is a wasteful number, since it uses less digits than its factorization.

4075916328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 4075916328 is about 63842.9035054014. The cubic root of 4075916328 is about 1597.3806527692.

The spelling of 4075916328 in words is "four billion, seventy-five million, nine hundred sixteen thousand, three hundred twenty-eight".