4144000004414 has 32 divisors (see below), whose sum is σ = 6647238058752. Its totient is φ = 1930685760000.

The previous prime is 4144000004413. The next prime is 4144000004453.

4144000004414 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4144000004413) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74356019 + ... + 74411729.

It is an arithmetic number, because the mean of its divisors is an integer number (207726189336).

Almost surely, 2^{4144000004414} is an apocalyptic number.

4144000004414 is a deficient number, since it is larger than the sum of its proper divisors (2503238054338).

4144000004414 is a wasteful number, since it uses less digits than its factorization.

4144000004414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77492.

The product of its (nonzero) digits is 4096, while the sum is 26.

It can be divided in two parts, 414400000 and 4414, that added together give a palindrome (414404414).

The spelling of 4144000004414 in words is "four trillion, one hundred forty-four billion, four thousand, four hundred fourteen".