4028160000000 has 480 divisors, whose sum is σ = 13439555438400. Its totient is φ = 1073152000000.

The previous prime is 4028159999999. The next prime is 4028160000037. The reversal of 4028160000000 is 618204.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3839999476 + ... + 3840000524.

It is an arithmetic number, because the mean of its divisors is an integer number (27999073830).

Almost surely, 2^{4028160000000} is an apocalyptic number.

4028160000000 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 4028160000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6719777719200).

4028160000000 is an abundant number, since it is smaller than the sum of its proper divisors (9411395438400).

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

4028160000000 is an frugal number, since it uses more digits than its factorization.

4028160000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 4028160000000 its reverse (618204), we get a palindrome (4028160618204).

The spelling of 4028160000000 in words is "four trillion, twenty-eight billion, one hundred sixty million", and thus it is an aban number.