1305002400000 has 864 divisors, whose sum is σ = 4723126200576. Its totient is φ = 317952000000.

The previous prime is 1305002399993. The next prime is 1305002400001. The reversal of 1305002400000 is 42005031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (1305002400001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4711199862 + ... + 4711200138.

Almost surely, 2^{1305002400000} is an apocalyptic number.

1305002400000 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 1305002400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2361563100288).

1305002400000 is an abundant number, since it is smaller than the sum of its proper divisors (3418123800576).

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

1305002400000 is an equidigital number, since it uses as much as digits as its factorization.

1305002400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

Adding to 1305002400000 its reverse (42005031), we get a palindrome (1305044405031).

The spelling of 1305002400000 in words is "one trillion, three hundred five billion, two million, four hundred thousand".