4497480000000 has 1440 divisors, whose sum is σ = 18054904755888. Its totient is φ = 1071360000000.

The previous prime is 4497479999993. The next prime is 4497480000001. The reversal of 4497480000000 is 847944.

It can be written as a sum of positive squares in 8 ways, for example, as 4458314006784 + 39165993216 = 2111472^2 + 197904^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a self number, because there is not a number n which added to its sum of digits gives 4497480000000.

It is not an unprimeable number, because it can be changed into a prime (4497480000001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 145079999985 + ... + 145080000015.

Almost surely, 2^{4497480000000} is an apocalyptic number.

4497480000000 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 4497480000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9027452377944).

4497480000000 is an abundant number, since it is smaller than the sum of its proper divisors (13557424755888).

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

4497480000000 is an frugal number, since it uses more digits than its factorization.

4497480000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 4497480000000 its reverse (847944), we get a palindrome (4497480847944).

The spelling of 4497480000000 in words is "four trillion, four hundred ninety-seven billion, four hundred eighty million", and thus it is an aban number.