4414310134144 has 32 divisors (see below), whose sum is σ = 8938299608640. Its totient is φ = 2170972193280.

The previous prime is 4414310134097. The next prime is 4414310134163.

4414310134144 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×4414310134144² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 282670864 + ... + 282686479.

It is an arithmetic number, because the mean of its divisors is an integer number (279321862770).

Almost surely, 2^{4414310134144} is an apocalyptic number.

It is an amenable number.

4414310134144 is an abundant number, since it is smaller than the sum of its proper divisors (4523989474496).

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

4414310134144 is an equidigital number, since it uses as much as digits as its factorization.

4414310134144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565357418 (or 565357406 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

It can be divided in two parts, 4414310 and 134144, that added together give a palindrome (4548454).

The spelling of 4414310134144 in words is "four trillion, four hundred fourteen billion, three hundred ten million, one hundred thirty-four thousand, one hundred forty-four".