4411221144 has 64 divisors (see below), whose sum is σ = 12037783680. Its totient is φ = 1335936000.

The previous prime is 4411221131. The next prime is 4411221181.

4411221144 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 558664 + ... + 566504.

It is an arithmetic number, because the mean of its divisors is an integer number (188090370).

Almost surely, 2^4411221144 is an apocalyptic number.

4411221144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4411221144 is an abundant number, since it is smaller than the sum of its proper divisors (7626562536).

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

4411221144 is a wasteful number, since it uses less digits than its factorization.

4411221144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9992 (or 9988 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

The square root of 4411221144 is about 66417.0245042640. The cubic root of 4411221144 is about 1640.0343468912.

It can be divided in two parts, 44112 and 21144, that added together give a palindrome (65256).

The spelling of 4411221144 in words is "four billion, four hundred eleven million, two hundred twenty-one thousand, one hundred forty-four".