4411122211144 has 48 divisors (see below), whose sum is σ = 9094907960460. Its totient is φ = 2004216614400.

The previous prime is 4411122211121. The next prime is 4411122211163.

It is a happy number.

4411122211144 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 3006513244900 + 1404608966244 = 1733930^2 + 1185162^2 .

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

It is a zygodrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1364284 + ... + 3268564.

Almost surely, 2^{4411122211144} is an apocalyptic number.

4411122211144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4411122211144 is an abundant number, since it is smaller than the sum of its proper divisors (4683785749316).

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

4411122211144 is a wasteful number, since it uses less digits than its factorization.

4411122211144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1906702 (or 1906687 counting only the distinct ones).

The product of its digits is 2048, while the sum is 28.

The spelling of 4411122211144 in words is "four trillion, four hundred eleven billion, one hundred twenty-two million, two hundred eleven thousand, one hundred forty-four".