4414774144 has 64 divisors (see below), whose sum is σ = 9605952000. Its totient is φ = 2004344320.

The previous prime is 4414774141. The next prime is 4414774151.

4414774144 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 4414774097 and 4414774106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4414774141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1839057 + ... + 1841455.

It is an arithmetic number, because the mean of its divisors is an integer number (150093000).

Almost surely, 2^4414774144 is an apocalyptic number.

4414774144 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 4414774144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4802976000).

4414774144 is an abundant number, since it is smaller than the sum of its proper divisors (5191177856).

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

4414774144 is a wasteful number, since it uses less digits than its factorization.

4414774144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3731 (or 3719 counting only the distinct ones).

The product of its digits is 200704, while the sum is 40.

The square root of 4414774144 is about 66443.7667806394. The cubic root of 4414774144 is about 1640.4745483750.

The spelling of 4414774144 in words is "four billion, four hundred fourteen million, seven hundred seventy-four thousand, one hundred forty-four".