4041793728 has 336 divisors, whose sum is σ = 13881713664. Its totient is φ = 1142138880.

The previous prime is 4041793633. The next prime is 4041793739. The reversal of 4041793728 is 8273971404.

4041793728 is a `hidden beast` number, since 404 + 179 + 3 + 72 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14914233 + ... + 14914503.

It is an arithmetic number, because the mean of its divisors is an integer number (41314624).

Almost surely, 2^4041793728 is an apocalyptic number.

4041793728 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 4041793728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6940856832).

4041793728 is an abundant number, since it is smaller than the sum of its proper divisors (9839919936).

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

4041793728 is a wasteful number, since it uses less digits than its factorization.

4041793728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 4041793728 is about 63575.1030514304. The cubic root of 4041793728 is about 1592.9105251542.

The spelling of 4041793728 in words is "four billion, forty-one million, seven hundred ninety-three thousand, seven hundred twenty-eight".