4501144128100 has 81 divisors (see below), whose sum is σ = 9957739664523. Its totient is φ = 1766045461440.

The previous prime is 4501144128083. The next prime is 4501144128109. The reversal of 4501144128100 is 18214411054.

The square root of 4501144128100 is 2121590.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 33906803044 + 4467237325056 = 184138^2 + 2113584^2 .

It is a super-2 number, since 2×4501144128100² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4501144128109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1124440699 + ... + 1124444701.

Almost surely, 2^{4501144128100} is an apocalyptic number.

4501144128100 is the 2121590-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4501144128100

4501144128100 is an abundant number, since it is smaller than the sum of its proper divisors (5456595536423).

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

4501144128100 is an frugal number, since it uses more digits than its factorization.

4501144128100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8126 (or 4063 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 31.

Adding to 4501144128100 its reverse (18214411054), we get a palindrome (4519358539154).

The spelling of 4501144128100 in words is "four trillion, five hundred one billion, one hundred forty-four million, one hundred twenty-eight thousand, one hundred".