1305032420000 has 480 divisors, whose sum is σ = 3484800506880. Its totient is φ = 480416640000.

The previous prime is 1305032419993. The next prime is 1305032420053. The reversal of 1305032420000 is 242305031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7543539914 + ... + 7543540086.

It is an arithmetic number, because the mean of its divisors is an integer number (7260001056).

Almost surely, 2^{1305032420000} is an apocalyptic number.

1305032420000 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 1305032420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1742400253440).

1305032420000 is an abundant number, since it is smaller than the sum of its proper divisors (2179768086880).

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

1305032420000 is an frugal number, since it uses more digits than its factorization.

1305032420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 1305032420000 its reverse (242305031), we get a palindrome (1305274725031).

The spelling of 1305032420000 in words is "one trillion, three hundred five billion, thirty-two million, four hundred twenty thousand".