4163274144 has 144 divisors (see below), whose sum is σ = 12135614400. Its totient is φ = 1353461760.

The previous prime is 4163274139. The next prime is 4163274149. The reversal of 4163274144 is 4414723614.

4163274144 is a `hidden beast` number, since 4 + 1 + 632 + 7 + 4 + 14 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (4163274139) and next prime (4163274149).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 4163274099 and 4163274108.

It is not an unprimeable number, because it can be changed into a prime (4163274149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1982407 + ... + 1984505.

It is an arithmetic number, because the mean of its divisors is an integer number (84275100).

Almost surely, 2^4163274144 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 4163274144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6067807200).

4163274144 is an abundant number, since it is smaller than the sum of its proper divisors (7972340256).

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

4163274144 is a wasteful number, since it uses less digits than its factorization.

4163274144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2283 (or 2272 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 4163274144 is about 64523.4387180349. The cubic root of 4163274144 is about 1608.7121298113.

Adding to 4163274144 its reverse (4414723614), we get a palindrome (8577997758).

The spelling of 4163274144 in words is "four billion, one hundred sixty-three million, two hundred seventy-four thousand, one hundred forty-four".