22142431424300 has 288 divisors, whose sum is σ = 53552086822080. Its totient is φ = 7879680000000.

The previous prime is 22142431424287. The next prime is 22142431424371. The reversal of 22142431424300 is 342413424122.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5534222300 + ... + 5534226300.

It is an arithmetic number, because the mean of its divisors is an integer number (185944745910).

Almost surely, 2^{22142431424300} is an apocalyptic number.

22142431424300 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 22142431424300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26776043411040).

22142431424300 is an abundant number, since it is smaller than the sum of its proper divisors (31409655397780).

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

22142431424300 is a wasteful number, since it uses less digits than its factorization.

22142431424300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4693 (or 4686 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 22142431424300 its reverse (342413424122), we get a palindrome (22484844848422).

The spelling of 22142431424300 in words is "twenty-two trillion, one hundred forty-two billion, four hundred thirty-one million, four hundred twenty-four thousand, three hundred".