22214304240400 has 240 divisors, whose sum is σ = 55954518681600. Its totient is φ = 8459144686080.

The previous prime is 22214304240397. The next prime is 22214304240419. The reversal of 22214304240400 is 404240341222.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2030738131 + ... + 2030749069.

It is an arithmetic number, because the mean of its divisors is an integer number (233143827840).

Almost surely, 2^{22214304240400} is an apocalyptic number.

22214304240400 is a gapful number since it is divisible by the number (20) 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 22214304240400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27977259340800).

22214304240400 is an abundant number, since it is smaller than the sum of its proper divisors (33740214441200).

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

22214304240400 is a wasteful number, since it uses less digits than its factorization.

22214304240400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12006 (or 11995 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 22214304240400 its reverse (404240341222), we get a palindrome (22618544581622).

The spelling of 22214304240400 in words is "twenty-two trillion, two hundred fourteen billion, three hundred four million, two hundred forty thousand, four hundred".