4416434346144 has 96 divisors (see below), whose sum is σ = 11612596665600. Its totient is φ = 1469675520000.

The previous prime is 4416434346133. The next prime is 4416434346223.

4416434346144 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4416434346093 and 4416434346102.

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, 248650224 + ... + 248667984.

It is an arithmetic number, because the mean of its divisors is an integer number (120964548600).

Almost surely, 2^{4416434346144} is an apocalyptic number.

It is an amenable number.

4416434346144 is an abundant number, since it is smaller than the sum of its proper divisors (7196162319456).

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

4416434346144 is a wasteful number, since it uses less digits than its factorization.

4416434346144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21974 (or 21966 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 48.

The spelling of 4416434346144 in words is "four trillion, four hundred sixteen billion, four hundred thirty-four million, three hundred forty-six thousand, one hundred forty-four".