1305424002400 has 288 divisors, whose sum is σ = 3890535364800. Its totient is φ = 417514782720.

The previous prime is 1305424002371. The next prime is 1305424002403. The reversal of 1305424002400 is 42004245031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1305424002403) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 10696926 + ... + 10818274.

It is an arithmetic number, because the mean of its divisors is an integer number (13508803350).

Almost surely, 2^{1305424002400} is an apocalyptic number.

1305424002400 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 1305424002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1945267682400).

1305424002400 is an abundant number, since it is smaller than the sum of its proper divisors (2585111362400).

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

1305424002400 is a wasteful number, since it uses less digits than its factorization.

1305424002400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121506 (or 121493 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 1305424002400 its reverse (42004245031), we get a palindrome (1347428247431).

The spelling of 1305424002400 in words is "one trillion, three hundred five billion, four hundred twenty-four million, two thousand, four hundred".