4164444144 has 240 divisors, whose sum is σ = 14036199840. Its totient is φ = 1178634240.

The previous prime is 4164444127. The next prime is 4164444181. The reversal of 4164444144 is 4414444614.

4164444144 is a `hidden beast` number, since 4 + 1 + 644 + 4 + 4 + 1 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 = 4164444099 and 4164444108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2391114 + ... + 2392854.

It is an arithmetic number, because the mean of its divisors is an integer number (58484166).

Almost surely, 2^4164444144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4164444144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7018099920).

4164444144 is an abundant number, since it is smaller than the sum of its proper divisors (9871755696).

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

4164444144 is a wasteful number, since it uses less digits than its factorization.

4164444144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1885 (or 1866 counting only the distinct ones).

The product of its digits is 98304, while the sum is 36.

The square root of 4164444144 is about 64532.5045539068. The cubic root of 4164444144 is about 1608.8628138513.

Adding to 4164444144 its reverse (4414444614), we get a palindrome (8578888758).

The spelling of 4164444144 in words is "four billion, one hundred sixty-four million, four hundred forty-four thousand, one hundred forty-four".