4144102322220 has 216 divisors, whose sum is σ = 14729500828224. Its totient is φ = 940309074432.

The previous prime is 4144102322179. The next prime is 4144102322237. The reversal of 4144102322220 is 222232014414.

It is a happy number.

4144102322220 is a `hidden beast` number, since 4 + 1 + 4 + 410 + 2 + 3 + 22 + 220 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 506452 + ... + 2923131.

It is an arithmetic number, because the mean of its divisors is an integer number (68192133464).

Almost surely, 2^{4144102322220} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4144102322220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7364750414112).

4144102322220 is an abundant number, since it is smaller than the sum of its proper divisors (10585398506004).

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

4144102322220 is a wasteful number, since it uses less digits than its factorization.

4144102322220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3429749 (or 3429737 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 4144102322220 its reverse (222232014414), we get a palindrome (4366334336634).

It can be divided in two parts, 414410 and 2322220, that added together give a triangular number (2736630 = T₂₃₃₉).

The spelling of 4144102322220 in words is "four trillion, one hundred forty-four billion, one hundred two million, three hundred twenty-two thousand, two hundred twenty".