4515313200000 has 384 divisors, whose sum is σ = 15007383216000. Its totient is φ = 1202791680000.

The previous prime is 4515313199993. The next prime is 4515313200001. The reversal of 4515313200000 is 23135154.

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 (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4515313200001) by changing a digit.

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, 1750798711 + ... + 1750801289.

It is an arithmetic number, because the mean of its divisors is an integer number (39081727125).

Almost surely, 2^{4515313200000} is an apocalyptic number.

4515313200000 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 4515313200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7503691608000).

4515313200000 is an abundant number, since it is smaller than the sum of its proper divisors (10492070016000).

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

4515313200000 is an equidigital number, since it uses as much as digits as its factorization.

4515313200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4080 (or 4048 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

Adding to 4515313200000 its reverse (23135154), we get a palindrome (4515336335154).

The spelling of 4515313200000 in words is "four trillion, five hundred fifteen billion, three hundred thirteen million, two hundred thousand".