22014442424430 has 192 divisors, whose sum is σ = 59140994185728. Its totient is φ = 5677312032000.

The previous prime is 22014442424407. The next prime is 22014442424453. The reversal of 22014442424430 is 3442424441022.

22014442424430 is a `hidden beast` number, since 2 + 2 + 0 + 144 + 42 + 42 + 4 + 430 = 666.

It is an interprime number because it is at equal distance from previous prime (22014442424407) and next prime (22014442424453).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 407022169 + ... + 407076251.

It is an arithmetic number, because the mean of its divisors is an integer number (308026011384).

Almost surely, 2^{22014442424430} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22014442424430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29570497092864).

22014442424430 is an abundant number, since it is smaller than the sum of its proper divisors (37126551761298).

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

22014442424430 is a wasteful number, since it uses less digits than its factorization.

22014442424430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54871 (or 54868 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 22014442424430 its reverse (3442424441022), we get a palindrome (25456866865452).

The spelling of 22014442424430 in words is "twenty-two trillion, fourteen billion, four hundred forty-two million, four hundred twenty-four thousand, four hundred thirty".