4414164614144 has 176 divisors, whose sum is σ = 9336764609280. Its totient is φ = 2080077742080.

The previous prime is 4414164614059. The next prime is 4414164614159.

It is a happy number.

4414164614144 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4414164614144² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4414164614095 and 4414164614104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4490502677 + ... + 4490503659.

Almost surely, 2^{4414164614144} 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 4414164614144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4668382304640).

4414164614144 is an abundant number, since it is smaller than the sum of its proper divisors (4922599995136).

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

4414164614144 is a wasteful number, since it uses less digits than its factorization.

4414164614144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1986 (or 1968 counting only the distinct ones).

The product of its digits is 589824, while the sum is 44.

The spelling of 4414164614144 in words is "four trillion, four hundred fourteen billion, one hundred sixty-four million, six hundred fourteen thousand, one hundred forty-four".