1303998004224 has 264 divisors, whose sum is σ = 3821438380032. Its totient is φ = 428211609600.

The previous prime is 1303998004213. The next prime is 1303998004247. The reversal of 1303998004224 is 4224008993031.

1303998004224 is a `hidden beast` number, since 1 + 30 + 399 + 8 + 0 + 0 + 4 + 224 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1303998004224.

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 23 ways as a sum of consecutive naturals, for example, 292965199 + ... + 292969649.

Almost surely, 2^{1303998004224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1303998004224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1910719190016).

1303998004224 is an abundant number, since it is smaller than the sum of its proper divisors (2517440375808).

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

1303998004224 is a wasteful number, since it uses less digits than its factorization.

1303998004224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4943 (or 4922 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 1303998004224 in words is "one trillion, three hundred three billion, nine hundred ninety-eight million, four thousand, two hundred twenty-four".