5302804434400 has 288 divisors, whose sum is σ = 14343655447296. Its totient is φ = 1898158080000.

The previous prime is 5302804434383. The next prime is 5302804434419. The reversal of 5302804434400 is 44344082035.

It is a self number, because there is not a number n which added to its sum of digits gives 5302804434400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 420484095 + ... + 420496705.

It is an arithmetic number, because the mean of its divisors is an integer number (49804359192).

Almost surely, 2^{5302804434400} is an apocalyptic number.

5302804434400 is a gapful number since it is divisible by the number (50) 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 5302804434400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7171827723648).

5302804434400 is an abundant number, since it is smaller than the sum of its proper divisors (9040851012896).

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

5302804434400 is a wasteful number, since it uses less digits than its factorization.

5302804434400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13386 (or 13373 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 37.

The spelling of 5302804434400 in words is "five trillion, three hundred two billion, eight hundred four million, four hundred thirty-four thousand, four hundred".