1305424513400 has 144 divisors (see below), whose sum is σ = 3531897270000. Its totient is φ = 447414804480.

The previous prime is 1305424513381. The next prime is 1305424513451. The reversal of 1305424513400 is 43154245031.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29367992 + ... + 29412408.

It is an arithmetic number, because the mean of its divisors is an integer number (24527064375).

Almost surely, 2^{1305424513400} is an apocalyptic number.

1305424513400 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 1305424513400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1765948635000).

1305424513400 is an abundant number, since it is smaller than the sum of its proper divisors (2226472756600).

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

1305424513400 is a wasteful number, since it uses less digits than its factorization.

1305424513400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47446 (or 47430 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

Adding to 1305424513400 its reverse (43154245031), we get a palindrome (1348578758431).

The spelling of 1305424513400 in words is "one trillion, three hundred five billion, four hundred twenty-four million, five hundred thirteen thousand, four hundred".