5408043270400 has 243 divisors, whose sum is σ = 13739575599813. Its totient is φ = 2107479244800.

The previous prime is 5408043270373. The next prime is 5408043270401. The reversal of 5408043270400 is 40723408045.

The square root of 5408043270400 is 2325520.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 4833455014144 + 574588256256 = 2198512^2 + 758016^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 5408043270400.

It is not an unprimeable number, because it can be changed into a prime (5408043270401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7627705246 + ... + 7627705954.

Almost surely, 2^{5408043270400} is an apocalyptic number.

5408043270400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5408043270400 is the 2325520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5408043270400

5408043270400 is an abundant number, since it is smaller than the sum of its proper divisors (8331532329413).

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

5408043270400 is an frugal number, since it uses more digits than its factorization.

5408043270400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1526 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 37.

Adding to 5408043270400 its reverse (40723408045), we get a palindrome (5448766678445).

The spelling of 5408043270400 in words is "five trillion, four hundred eight billion, forty-three million, two hundred seventy thousand, four hundred".