5305434534400 has 720 divisors, whose sum is σ = 17782906946112. Its totient is φ = 1526398156800.

The previous prime is 5305434534397. The next prime is 5305434534401. The reversal of 5305434534400 is 44354345035.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (5305434534401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 140921979 + ... + 140959621.

Almost surely, 2^{5305434534400} is an apocalyptic number.

5305434534400 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 5305434534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8891453473056).

5305434534400 is an abundant number, since it is smaller than the sum of its proper divisors (12477472411712).

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

5305434534400 is a wasteful number, since it uses less digits than its factorization.

5305434534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37713 (or 37681 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 40.

Adding to 5305434534400 its reverse (44354345035), we get a palindrome (5349788879435).

The spelling of 5305434534400 in words is "five trillion, three hundred five billion, four hundred thirty-four million, five hundred thirty-four thousand, four hundred".