4411334331144 has 96 divisors (see below), whose sum is σ = 13310060563800. Its totient is φ = 1310529024000.

The previous prime is 4411334331119. The next prime is 4411334331161.

4411334331144 is a `hidden beast` number, since 4 + 4 + 1 + 1 + 334 + 3 + 311 + 4 + 4 = 666.

4411334331144 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 3967418618244 + 443915712900 = 1991838^2 + 666270^2 .

It is a super-2 number, since 2×4411334331144² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 4411334331099 and 4411334331108.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81230857 + ... + 81285144.

Almost surely, 2^{4411334331144} is an apocalyptic number.

It is an amenable number.

4411334331144 is an abundant number, since it is smaller than the sum of its proper divisors (8898726232656).

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

4411334331144 is a wasteful number, since it uses less digits than its factorization.

4411334331144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162516055 (or 162516048 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The spelling of 4411334331144 in words is "four trillion, four hundred eleven billion, three hundred thirty-four million, three hundred thirty-one thousand, one hundred forty-four".