4500442638720 has 384 divisors, whose sum is σ = 17768773189440. Its totient is φ = 1028203610112.

The previous prime is 4500442638689. The next prime is 4500442638743. The reversal of 4500442638720 is 278362440054.

It is a happy number.

4500442638720 is a `hidden beast` number, since 4 + 5 + 0 + 0 + 4 + 4 + 2 + 638 + 7 + 2 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92590744 + ... + 92639336.

Almost surely, 2^{4500442638720} is an apocalyptic number.

4500442638720 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 4500442638720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8884386594720).

4500442638720 is an abundant number, since it is smaller than the sum of its proper divisors (13268330550720).

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

4500442638720 is a wasteful number, since it uses less digits than its factorization.

4500442638720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50922 (or 50907 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 4500442638720 in words is "four trillion, five hundred billion, four hundred forty-two million, six hundred thirty-eight thousand, seven hundred twenty".