22195040400 has 405 divisors, whose sum is σ = 83842509387. Its totient is φ = 5434790400.

The previous prime is 22195040369. The next prime is 22195040401. The reversal of 22195040400 is 404059122.

The square root of 22195040400 is 148980.

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

22195040400 is a `hidden beast` number, since 2 + 219 + 5 + 0 + 40 + 400 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5720804496 + 16474235904 = 75636^2 + 128352^2 .

It is not an unprimeable number, because it can be changed into a prime (22195040401) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 116204305 + ... + 116204495.

Almost surely, 2^22195040400 is an apocalyptic number.

22195040400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

22195040400 is the 148980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22195040400

22195040400 is an abundant number, since it is smaller than the sum of its proper divisors (61647468987).

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

22195040400 is a wasteful number, since it uses less digits than its factorization.

22195040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 22195040400 its reverse (404059122), we get a palindrome (22599099522).

The spelling of 22195040400 in words is "twenty-two billion, one hundred ninety-five million, forty thousand, four hundred".