4416622266144 has 144 divisors (see below), whose sum is σ = 12758632246080. Its totient is φ = 1336772236800.

The previous prime is 4416622266113. The next prime is 4416622266151.

4416622266144 is nontrivially palindromic in base 10.

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 = 4416622266093 and 4416622266102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9519234 + ... + 9972414.

It is an arithmetic number, because the mean of its divisors is an integer number (88601612820).

Almost surely, 2^{4416622266144} is an apocalyptic number.

4416622266144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4416622266144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6379316123040).

4416622266144 is an abundant number, since it is smaller than the sum of its proper divisors (8342009979936).

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

4416622266144 is a wasteful number, since it uses less digits than its factorization.

4416622266144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454055 (or 454036 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 48.

The spelling of 4416622266144 in words is "four trillion, four hundred sixteen billion, six hundred twenty-two million, two hundred sixty-six thousand, one hundred forty-four".