22433102104400 has 60 divisors (see below), whose sum is σ = 58041337650492. Its totient is φ = 8282991544320.

The previous prime is 22433102104397. The next prime is 22433102104433. The reversal of 22433102104400 is 440120133422.

It can be written as a sum of positive squares in 6 ways, for example, as 4237553995024 + 18195548109376 = 2058532^2 + 4265624^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 22433102104400.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 2157023849 + ... + 2157034248.

Almost surely, 2^{22433102104400} is an apocalyptic number.

22433102104400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22433102104400 is an abundant number, since it is smaller than the sum of its proper divisors (35608235546092).

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

22433102104400 is a wasteful number, since it uses less digits than its factorization.

22433102104400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4314058128 (or 4314058117 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 22433102104400 its reverse (440120133422), we get a palindrome (22873222237822).

The spelling of 22433102104400 in words is "twenty-two trillion, four hundred thirty-three billion, one hundred two million, one hundred four thousand, four hundred".