4053905856 has 672 divisors, whose sum is σ = 15976396800. Its totient is φ = 948879360.

The previous prime is 4053905839. The next prime is 4053905857. The reversal of 4053905856 is 6585093504.

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

It is a super-2 number, since 2×4053905856² = 32868305378622185472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4053905857) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45549460 + ... + 45549548.

It is an arithmetic number, because the mean of its divisors is an integer number (23774400).

Almost surely, 2^4053905856 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 4053905856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7988198400).

4053905856 is an abundant number, since it is smaller than the sum of its proper divisors (11922490944).

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

4053905856 is a wasteful number, since it uses less digits than its factorization.

4053905856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 204 counting only the distinct ones).

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

The square root of 4053905856 is about 63670.2902145106. The cubic root of 4053905856 is about 1594.5001078201.

It can be divided in two parts, 4053 and 905856, that added together give a palindrome (909909).

The spelling of 4053905856 in words is "four billion, fifty-three million, nine hundred five thousand, eight hundred fifty-six".