1005304342224 has 80 divisors (see below), whose sum is σ = 3196352281472. Its totient is φ = 265135209984.

The previous prime is 1005304342213. The next prime is 1005304342279. The reversal of 1005304342224 is 4222434035001.

It is a junction number, because it is equal to n+sod(n) for n = 1005304342191 and 1005304342200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115071679 + ... + 115080414.

Almost surely, 2^{1005304342224} is an apocalyptic number.

1005304342224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1005304342224 is an abundant number, since it is smaller than the sum of its proper divisors (2191047939248).

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

1005304342224 is a wasteful number, since it uses less digits than its factorization.

1005304342224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230152124 (or 230152118 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 1005304342224 its reverse (4222434035001), we get a palindrome (5227738377225).

The spelling of 1005304342224 in words is "one trillion, five billion, three hundred four million, three hundred forty-two thousand, two hundred twenty-four".