4144432414220 has 192 divisors, whose sum is σ = 10241078400000. Its totient is φ = 1379256975360.

The previous prime is 4144432414201. The next prime is 4144432414303. The reversal of 4144432414220 is 224142344414.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1011081731 + ... + 1011085829.

It is an arithmetic number, because the mean of its divisors is an integer number (53338950000).

Almost surely, 2^{4144432414220} 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 4144432414220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5120539200000).

4144432414220 is an abundant number, since it is smaller than the sum of its proper divisors (6096645985780).

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

4144432414220 is a wasteful number, since it uses less digits than its factorization.

4144432414220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5008 (or 5006 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 35.

Adding to 4144432414220 its reverse (224142344414), we get a palindrome (4368574758634).

The spelling of 4144432414220 in words is "four trillion, one hundred forty-four billion, four hundred thirty-two million, four hundred fourteen thousand, two hundred twenty".