4082338600704 has 1440 divisors, whose sum is σ = 15612990328320. Its totient is φ = 1036148391936.

The previous prime is 4082338600693. The next prime is 4082338600709. The reversal of 4082338600704 is 4070068332804.

4082338600704 is a `hidden beast` number, since 4 + 0 + 8 + 2 + 3 + 38 + 600 + 7 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4082338600704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4082338600709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 13297519719 + ... + 13297520025.

Almost surely, 2^{4082338600704} 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 4082338600704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7806495164160).

4082338600704 is an abundant number, since it is smaller than the sum of its proper divisors (11530651727616).

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

4082338600704 is an frugal number, since it uses more digits than its factorization.

4082338600704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 4082338600704 in words is "four trillion, eighty-two billion, three hundred thirty-eight million, six hundred thousand, seven hundred four".