224140042144134 has 96 divisors (see below), whose sum is σ = 510613439544000. Its totient is φ = 70920627757056.

The previous prime is 224140042144121. The next prime is 224140042144169. The reversal of 224140042144134 is 431441240041422.

224140042144134 is a `hidden beast` number, since 2 + 2 + 4 + 1 + 400 + 4 + 214 + 4 + 1 + 34 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177294492 + ... + 178554240.

It is an arithmetic number, because the mean of its divisors is an integer number (5318889995250).

Almost surely, 2^{224140042144134} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224140042144134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255306719772000).

224140042144134 is an abundant number, since it is smaller than the sum of its proper divisors (286473397399866).

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

224140042144134 is a wasteful number, since it uses less digits than its factorization.

224140042144134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1263054 (or 1263051 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 224140042144134 its reverse (431441240041422), we get a palindrome (655581282185556).

The spelling of 224140042144134 in words is "two hundred twenty-four trillion, one hundred forty billion, forty-two million, one hundred forty-four thousand, one hundred thirty-four".