1323087000480 has 1152 divisors, whose sum is σ = 5917324492800. Its totient is φ = 274027235328.

The previous prime is 1323087000463. The next prime is 1323087000481. The reversal of 1323087000480 is 840007803231.

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

It is not an unprimeable number, because it can be changed into a prime (1323087000481) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 92497009 + ... + 92511311.

It is an arithmetic number, because the mean of its divisors is an integer number (5136566400).

Almost surely, 2^{1323087000480} is an apocalyptic number.

1323087000480 is a gapful number since it is divisible by the number (10) 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 1323087000480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2958662246400).

1323087000480 is an abundant number, since it is smaller than the sum of its proper divisors (4594237492320).

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

1323087000480 is a wasteful number, since it uses less digits than its factorization.

1323087000480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14383 (or 14362 counting only the distinct ones).

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

The spelling of 1323087000480 in words is "one trillion, three hundred twenty-three billion, eighty-seven million, four hundred eighty", and thus it is an aban number.