4533805440 has 256 divisors, whose sum is σ = 16333056000. Its totient is φ = 1188255744.

The previous prime is 4533805417. The next prime is 4533805453. The reversal of 4533805440 is 445083354.

4533805440 is a `hidden beast` number, since 4 + 5 + 33 + 80 + 544 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 4533805395 and 4533805404.

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, 1017297 + ... + 1021743.

It is an arithmetic number, because the mean of its divisors is an integer number (63801000).

Almost surely, 2^4533805440 is an apocalyptic number.

4533805440 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 4533805440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8166528000).

4533805440 is an abundant number, since it is smaller than the sum of its proper divisors (11799250560).

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

4533805440 is a wasteful number, since it uses less digits than its factorization.

4533805440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4534 (or 4516 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 4533805440 is about 67333.5387455613. The cubic root of 4533805440 is about 1655.0875040063.

Adding to 4533805440 its reverse (445083354), we get a palindrome (4978888794).

The spelling of 4533805440 in words is "four billion, five hundred thirty-three million, eight hundred five thousand, four hundred forty".