5422284816400 has 135 divisors (see below), whose sum is σ = 13122273475749. Its totient is φ = 2153172725760.

The previous prime is 5422284816383. The next prime is 5422284816433. The reversal of 5422284816400 is 46184822245.

The square root of 5422284816400 is 2328580.

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 1848914623504 + 3573370192896 = 1359748^2 + 1890336^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8056886464 + ... + 8056887136.

Almost surely, 2^{5422284816400} is an apocalyptic number.

5422284816400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5422284816400 is the 2328580-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5422284816400

5422284816400 is an abundant number, since it is smaller than the sum of its proper divisors (7699988659349).

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

5422284816400 is an frugal number, since it uses more digits than its factorization.

5422284816400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1710 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 46.

The spelling of 5422284816400 in words is "five trillion, four hundred twenty-two billion, two hundred eighty-four million, eight hundred sixteen thousand, four hundred".