4500220024440 has 256 divisors, whose sum is σ = 17147683584000. Its totient is φ = 1028382428160.

The previous prime is 4500220024411. The next prime is 4500220024453. The reversal of 4500220024440 is 444200220054.

4500220024440 is a `hidden beast` number, since 450 + 0 + 2 + 200 + 2 + 4 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 33506941 + ... + 33640979.

It is an arithmetic number, because the mean of its divisors is an integer number (66983139000).

Almost surely, 2^{4500220024440} is an apocalyptic number.

4500220024440 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 4500220024440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8573841792000).

4500220024440 is an abundant number, since it is smaller than the sum of its proper divisors (12647463559560).

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

4500220024440 is a wasteful number, since it uses less digits than its factorization.

4500220024440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138507 (or 138497 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 27.

Adding to 4500220024440 its reverse (444200220054), we get a palindrome (4944420244494).

The spelling of 4500220024440 in words is "four trillion, five hundred billion, two hundred twenty million, twenty-four thousand, four hundred forty".