4382205764160 has 896 divisors, whose sum is σ = 17004036096000. Its totient is φ = 933930196992.

The previous prime is 4382205764159. The next prime is 4382205764191. The reversal of 4382205764160 is 614675022834.

4382205764160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4831538427 + ... + 4831539333.

Almost surely, 2^{4382205764160} is an apocalyptic number.

4382205764160 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 4382205764160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8502018048000).

4382205764160 is an abundant number, since it is smaller than the sum of its proper divisors (12621830331840).

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

4382205764160 is a wasteful number, since it uses less digits than its factorization.

4382205764160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1511 (or 1501 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 4382205764160 in words is "four trillion, three hundred eighty-two billion, two hundred five million, seven hundred sixty-four thousand, one hundred sixty".