4414334334144 has 112 divisors (see below), whose sum is σ = 13358170457088. Its totient is φ = 1260287428608.

The previous prime is 4414334334139. The next prime is 4414334334149.

4414334334144 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (4414334334139) and next prime (4414334334149).

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×4414334334144³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 = 4414334334096 and 4414334334105.

It is not an unprimeable number, because it can be changed into a prime (4414334334149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 545932 + ... + 3021044.

Almost surely, 2^{4414334334144} 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 4414334334144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6679085228544).

4414334334144 is an abundant number, since it is smaller than the sum of its proper divisors (8943836122944).

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

4414334334144 is a wasteful number, since it uses less digits than its factorization.

4414334334144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2476462 (or 2476452 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 42.

The spelling of 4414334334144 in words is "four trillion, four hundred fourteen billion, three hundred thirty-four million, three hundred thirty-four thousand, one hundred forty-four".