4085053440 has 384 divisors, whose sum is σ = 14414137920. Its totient is φ = 981467136.

The previous prime is 4085053433. The next prime is 4085053451. The reversal of 4085053440 is 443505804.

4085053440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21165984 + ... + 21166176.

Almost surely, 2^4085053440 is an apocalyptic number.

4085053440 is a gapful number since it is divisible by the number (40) 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 4085053440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7207068960).

4085053440 is an abundant number, since it is smaller than the sum of its proper divisors (10329084480).

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

4085053440 is a wasteful number, since it uses less digits than its factorization.

4085053440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The square root of 4085053440 is about 63914.4227854715. The cubic root of 4085053440 is about 1598.5733950437.

The spelling of 4085053440 in words is "four billion, eighty-five million, fifty-three thousand, four hundred forty".