4080384000000 has 2520 divisors, whose sum is σ = 19168449640704. Its totient is φ = 811008000000.

The previous prime is 4080383999953. The next prime is 4080384000019. The reversal of 4080384000000 is 4830804.

It is a tau number, because it is divible by the number of its divisors (2520).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 177407999989 + ... + 177408000011.

Almost surely, 2^{4080384000000} is an apocalyptic number.

4080384000000 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 4080384000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9584224820352).

4080384000000 is an abundant number, since it is smaller than the sum of its proper divisors (15088065640704).

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

4080384000000 is an frugal number, since it uses more digits than its factorization.

4080384000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 4080384000000 its reverse (4830804), we get a palindrome (4080388830804).

The spelling of 4080384000000 in words is "four trillion, eighty billion, three hundred eighty-four million", and thus it is an aban number.