22334244400400 has 30 divisors (see below), whose sum is σ = 53658022172922. Its totient is φ = 8933697760000.

The previous prime is 22334244400373. The next prime is 22334244400417. The reversal of 22334244400400 is 400444243322.

It can be written as a sum of positive squares in 3 ways, for example, as 6800808602896 + 15533435797504 = 2607836^2 + 3941248^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 27917805101 + ... + 27917805900.

Almost surely, 2^{22334244400400} is an apocalyptic number.

22334244400400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22334244400400 is an abundant number, since it is smaller than the sum of its proper divisors (31323777772522).

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

22334244400400 is a wasteful number, since it uses less digits than its factorization.

22334244400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55835611019 (or 55835611008 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 32.

Adding to 22334244400400 its reverse (400444243322), we get a palindrome (22734688643722).

The spelling of 22334244400400 in words is "twenty-two trillion, three hundred thirty-four billion, two hundred forty-four million, four hundred thousand, four hundred".