4505120000 has 180 divisors, whose sum is σ = 11556078996. Its totient is φ = 1751040000.

The previous prime is 4505119991. The next prime is 4505120023. The reversal of 4505120000 is 215054.

It can be written as a sum of positive squares in 10 ways, for example, as 3939821824 + 565298176 = 62768^2 + 23776^2 .

It is a super-2 number, since 2×4505120000² = 40592212428800000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5919620 + ... + 5920380.

Almost surely, 2^4505120000 is an apocalyptic number.

4505120000 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 4505120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5778039498).

4505120000 is an abundant number, since it is smaller than the sum of its proper divisors (7050958996).

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

4505120000 is an frugal number, since it uses more digits than its factorization.

4505120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

The square root of 4505120000 is about 67120.1907029472. The cubic root of 4505120000 is about 1651.5895303680.

Adding to 4505120000 its reverse (215054), we get a palindrome (4505335054).

It can be divided in two parts, 450 and 5120000, that multiplied together give a square (2304000000 = 48000²).

The spelling of 4505120000 in words is "four billion, five hundred five million, one hundred twenty thousand".