4321820911968 has 480 divisors, whose sum is σ = 14658846048000. Its totient is φ = 1223552977920.

The previous prime is 4321820911963. The next prime is 4321820911973. The reversal of 4321820911968 is 8691190281234.

It is a happy number.

4321820911968 is a `hidden beast` number, since 432 + 18 + 2 + 0 + 9 + 1 + 196 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (4321820911963) and next prime (4321820911973).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4321820911963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2883135283 + ... + 2883136781.

It is an arithmetic number, because the mean of its divisors is an integer number (30539262600).

Almost surely, 2^{4321820911968} is an apocalyptic number.

4321820911968 is a gapful number since it is divisible by the number (48) 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 4321820911968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7329423024000).

4321820911968 is an abundant number, since it is smaller than the sum of its proper divisors (10337025136032).

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

4321820911968 is a wasteful number, since it uses less digits than its factorization.

4321820911968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2872 (or 2855 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 4321820911968 in words is "four trillion, three hundred twenty-one billion, eight hundred twenty million, nine hundred eleven thousand, nine hundred sixty-eight".