4234224044340 has 288 divisors, whose sum is σ = 13687133241600. Its totient is φ = 1057316198400.

The previous prime is 4234224044333. The next prime is 4234224044377. The reversal of 4234224044340 is 434404224324.

4234224044340 is a `hidden beast` number, since 4 + 2 + 34 + 2 + 240 + 44 + 340 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4234224044295 and 4234224044304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37157571 + ... + 37271349.

It is an arithmetic number, because the mean of its divisors is an integer number (47524768200).

Almost surely, 2^{4234224044340} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4234224044340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6843566620800).

4234224044340 is an abundant number, since it is smaller than the sum of its proper divisors (9452909197260).

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

4234224044340 is a wasteful number, since it uses less digits than its factorization.

4234224044340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114007 (or 114002 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 36.

Adding to 4234224044340 its reverse (434404224324), we get a palindrome (4668628268664).

The spelling of 4234224044340 in words is "four trillion, two hundred thirty-four billion, two hundred twenty-four million, forty-four thousand, three hundred forty".