4423680000000 has 704 divisors, whose sum is σ = 16383954150720. Its totient is φ = 1179648000000.

The previous prime is 4423679999971. The next prime is 4423680000029. The reversal of 4423680000000 is 863244.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (4423679999971) and next prime (4423680000029).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 884735999998 + ... + 884736000002.

Almost surely, 2^{4423680000000} is an apocalyptic number.

4423680000000 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 4423680000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8191977075360).

4423680000000 is an abundant number, since it is smaller than the sum of its proper divisors (11960274150720).

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

4423680000000 is an frugal number, since it uses more digits than its factorization.

4423680000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

4423680000000 divided by its sum of digits (27) gives a 7-th power (163840000000 = 40⁷).

Adding to 4423680000000 its reverse (863244), we get a palindrome (4423680863244).

The spelling of 4423680000000 in words is "four trillion, four hundred twenty-three billion, six hundred eighty million", and thus it is an aban number.