4334414230020 has 192 divisors, whose sum is σ = 13948276801536. Its totient is φ = 985145172480.

The previous prime is 4334414229991. The next prime is 4334414230039. The reversal of 4334414230020 is 200324144334.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 4334414230020.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 233992479 + ... + 234011001.

It is an arithmetic number, because the mean of its divisors is an integer number (72647275008).

Almost surely, 2^{4334414230020} 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 4334414230020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6974138400768).

4334414230020 is an abundant number, since it is smaller than the sum of its proper divisors (9613862571516).

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

4334414230020 is a wasteful number, since it uses less digits than its factorization.

4334414230020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21650 (or 21648 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 4334414230020 its reverse (200324144334), we get a palindrome (4534738374354).

The spelling of 4334414230020 in words is "four trillion, three hundred thirty-four billion, four hundred fourteen million, two hundred thirty thousand, twenty".