4053333504 has 240 divisors, whose sum is σ = 12036323376. Its totient is φ = 1211105280.

The previous prime is 4053333503. The next prime is 4053333563.

4053333504 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4053333503) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21001632 + ... + 21001824.

Almost surely, 2^4053333504 is an apocalyptic number.

4053333504 is a gapful number since it is divisible by the number (44) 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 4053333504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6018161688).

4053333504 is an abundant number, since it is smaller than the sum of its proper divisors (7982989872).

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

4053333504 is a wasteful number, since it uses less digits than its factorization.

4053333504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 30.

The square root of 4053333504 is about 63665.7954006702. The cubic root of 4053333504 is about 1594.4250642850.

The spelling of 4053333504 in words is "four billion, fifty-three million, three hundred thirty-three thousand, five hundred four".