4329114168960 has 384 divisors, whose sum is σ = 17635659125760. Its totient is φ = 957591797760.

The previous prime is 4329114168943. The next prime is 4329114169001. The reversal of 4329114168960 is 698614119234.

4329114168960 is a `hidden beast` number, since 4 + 3 + 2 + 91 + 1 + 416 + 89 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 4329114168897 and 4329114168906.

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, 481837 + ... + 2981676.

It is an arithmetic number, because the mean of its divisors is an integer number (45926195640).

Almost surely, 2^{4329114168960} is an apocalyptic number.

4329114168960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4329114168960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8817829562880).

4329114168960 is an abundant number, since it is smaller than the sum of its proper divisors (13306544956800).

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

4329114168960 is a wasteful number, since it uses less digits than its factorization.

4329114168960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3463576 (or 3463561 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 4329114168960 in words is "four trillion, three hundred twenty-nine billion, one hundred fourteen million, one hundred sixty-eight thousand, nine hundred sixty".