5422936838400 has 729 divisors, whose sum is σ = 20098035047727. Its totient is φ = 1394996428800.

The previous prime is 5422936838237. The next prime is 5422936838419. The reversal of 5422936838400 is 48386392245.

The square root of 5422936838400 is 2328720.

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

5422936838400 is a `hidden beast` number, since 5 + 4 + 229 + 3 + 6 + 8 + 3 + 8 + 400 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3046504939776 + 2376431898624 = 1745424^2 + 1541568^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 17325676644 + ... + 17325676956.

Almost surely, 2^{5422936838400} is an apocalyptic number.

5422936838400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5422936838400 is the 2328720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5422936838400

5422936838400 is an abundant number, since it is smaller than the sum of its proper divisors (14675098209327).

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

5422936838400 is an equidigital number, since it uses as much as digits as its factorization.

5422936838400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 5422936838400 in words is "five trillion, four hundred twenty-two billion, nine hundred thirty-six million, eight hundred thirty-eight thousand, four hundred".