4085932032 has 672 divisors, whose sum is σ = 15688360800. Its totient is φ = 1040449536.

The previous prime is 4085932027. The next prime is 4085932043. The reversal of 4085932032 is 2302395804.

4085932032 is a `hidden beast` number, since 40 + 8 + 593 + 20 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140894194 + ... + 140894222.

It is an arithmetic number, because the mean of its divisors is an integer number (23345775).

Almost surely, 2^4085932032 is an apocalyptic number.

4085932032 is a gapful number since it is divisible by the number (42) 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 4085932032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7844180400).

4085932032 is an abundant number, since it is smaller than the sum of its proper divisors (11602428768).

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

4085932032 is a wasteful number, since it uses less digits than its factorization.

4085932032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 4085932032 is about 63921.2956063940. The cubic root of 4085932032 is about 1598.6879911061.

The spelling of 4085932032 in words is "four billion, eighty-five million, nine hundred thirty-two thousand, thirty-two".