4334413430334 has 128 divisors (see below), whose sum is σ = 10078101347328. Its totient is φ = 1230702520320.

The previous prime is 4334413430329. The next prime is 4334413430341. The reversal of 4334413430334 is 4330343144334.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 4334413430292 and 4334413430301.

It is a congruent number.

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, 108418969 + ... + 108458939.

It is an arithmetic number, because the mean of its divisors is an integer number (78735166776).

Almost surely, 2^{4334413430334} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4334413430334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5039050673664).

4334413430334 is an abundant number, since it is smaller than the sum of its proper divisors (5743687916994).

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

4334413430334 is a wasteful number, since it uses less digits than its factorization.

4334413430334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41602.

The product of its (nonzero) digits is 746496, while the sum is 39.

Adding to 4334413430334 its reverse (4330343144334), we get a palindrome (8664756574668).

The spelling of 4334413430334 in words is "four trillion, three hundred thirty-four billion, four hundred thirteen million, four hundred thirty thousand, three hundred thirty-four".