3220114411140 has 384 divisors, whose sum is σ = 10184600918016. Its totient is φ = 753338880000.

The previous prime is 3220114411139. The next prime is 3220114411187. The reversal of 3220114411140 is 411144110223.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 3220114411140.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1787958240 + ... + 1787960040.

It is an arithmetic number, because the mean of its divisors is an integer number (26522398224).

Almost surely, 2^{3220114411140} is an apocalyptic number.

3220114411140 is a gapful number since it is divisible by the number (30) 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 3220114411140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5092300459008).

3220114411140 is an abundant number, since it is smaller than the sum of its proper divisors (6964486506876).

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

3220114411140 is a wasteful number, since it uses less digits than its factorization.

3220114411140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2419 (or 2417 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 3220114411140 its reverse (411144110223), we get a palindrome (3631258521363).

The spelling of 3220114411140 in words is "three trillion, two hundred twenty billion, one hundred fourteen million, four hundred eleven thousand, one hundred forty".