4320385646004 has 72 divisors (see below), whose sum is σ = 11108483305920. Its totient is φ = 1415412738432.

The previous prime is 4320385645999. The next prime is 4320385646011. The reversal of 4320385646004 is 4006465830234.

4320385646004 is a `hidden beast` number, since 4 + 3 + 2 + 0 + 38 + 5 + 6 + 4 + 600 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9686104 + ... + 10122320.

It is an arithmetic number, because the mean of its divisors is an integer number (154284490360).

Almost surely, 2^{4320385646004} 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 4320385646004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5554241652960).

4320385646004 is an abundant number, since it is smaller than the sum of its proper divisors (6788097659916).

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

4320385646004 is a wasteful number, since it uses less digits than its factorization.

4320385646004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440949 (or 440944 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 4320385646004 in words is "four trillion, three hundred twenty billion, three hundred eighty-five million, six hundred forty-six thousand, four".