4185732096 has 792 divisors, whose sum is σ = 16308923904. Its totient is φ = 1021870080.

The previous prime is 4185732029. The next prime is 4185732097. The reversal of 4185732096 is 6902375814.

4185732096 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

4185732096 is strictly pandigital in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4185732097) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 135023601 + ... + 135023631.

It is a 1-persistent number, because it is pandigital, but 2⋅4185732096 = 8371464192 is not.

Almost surely, 2^4185732096 is an apocalyptic number.

4185732096 is a gapful number since it is divisible by the number (46) 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 4185732096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8154461952).

4185732096 is an abundant number, since it is smaller than the sum of its proper divisors (12123191808).

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

4185732096 is a wasteful number, since it uses less digits than its factorization.

4185732096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 79 counting only the distinct ones).

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

The square root of 4185732096 is about 64697.2340676168. The cubic root of 4185732096 is about 1611.5995696870.

The spelling of 4185732096 in words is "four billion, one hundred eighty-five million, seven hundred thirty-two thousand, ninety-six".