4416430346144 has 24 divisors (see below), whose sum is σ = 8697311293860. Its totient is φ = 2207589382656.

The previous prime is 4416430346143. The next prime is 4416430346177.

It is a happy number.

4416430346144 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 3332041350544 + 1084388995600 = 1825388^2 + 1041340^2 .

It is a super-2 number, since 2×4416430346144² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4416430346095 and 4416430346104.

It is not an unprimeable number, because it can be changed into a prime (4416430346143) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19441259 + ... + 19667114.

Almost surely, 2^{4416430346144} is an apocalyptic number.

It is an amenable number.

4416430346144 is a deficient number, since it is larger than the sum of its proper divisors (4280880947716).

4416430346144 is a wasteful number, since it uses less digits than its factorization.

4416430346144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39111912 (or 39111904 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 44.

The spelling of 4416430346144 in words is "four trillion, four hundred sixteen billion, four hundred thirty million, three hundred forty-six thousand, one hundred forty-four".