4416410146144 has 24 divisors (see below), whose sum is σ = 8975285137728. Its totient is φ = 2136972650880.

The previous prime is 4416410146129. The next prime is 4416410146177.

4416410146144 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4416410146097 and 4416410146106.

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, 2226012187 + ... + 2226014170.

It is an arithmetic number, because the mean of its divisors is an integer number (373970214072).

Almost surely, 2^{4416410146144} is an apocalyptic number.

It is an amenable number.

4416410146144 is an abundant number, since it is smaller than the sum of its proper divisors (4558874991584).

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

4416410146144 is a wasteful number, since it uses less digits than its factorization.

4416410146144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4452026398 (or 4452026390 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The spelling of 4416410146144 in words is "four trillion, four hundred sixteen billion, four hundred ten million, one hundred forty-six thousand, one hundred forty-four".