4053509856 has 144 divisors (see below), whose sum is σ = 13237136640. Its totient is φ = 1163669760.

The previous prime is 4053509851. The next prime is 4053509881. The reversal of 4053509856 is 6589053504.

4053509856 is a `hidden beast` number, since 40 + 53 + 509 + 8 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4053509851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26521 + ... + 93863.

It is an arithmetic number, because the mean of its divisors is an integer number (91924560).

Almost surely, 2^4053509856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4053509856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6618568320).

4053509856 is an abundant number, since it is smaller than the sum of its proper divisors (9183626784).

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

4053509856 is a wasteful number, since it uses less digits than its factorization.

4053509856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67389 (or 67378 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The square root of 4053509856 is about 63667.1803679101. The cubic root of 4053509856 is about 1594.4481873080.

The spelling of 4053509856 in words is "four billion, fifty-three million, five hundred nine thousand, eight hundred fifty-six".