22434112242400 has 72 divisors (see below), whose sum is σ = 57649764788280. Its totient is φ = 8501347791360.

The previous prime is 22434112242299. The next prime is 22434112242439. The reversal of 22434112242400 is 424221143422.

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, 737949019 + ... + 737979418.

It is an arithmetic number, because the mean of its divisors is an integer number (800691177615).

Almost surely, 2^{22434112242400} is an apocalyptic number.

22434112242400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22434112242400 is an abundant number, since it is smaller than the sum of its proper divisors (35215652545880).

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

22434112242400 is a wasteful number, since it uses less digits than its factorization.

22434112242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1475928476 (or 1475928463 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 31.

Adding to 22434112242400 its reverse (424221143422), we get a palindrome (22858333385822).

The spelling of 22434112242400 in words is "twenty-two trillion, four hundred thirty-four billion, one hundred twelve million, two hundred forty-two thousand, four hundred".