4054311144 has 192 divisors, whose sum is σ = 12363099840. Its totient is φ = 1237317120.

The previous prime is 4054311127. The next prime is 4054311197. The reversal of 4054311144 is 4411134504.

4054311144 is a `hidden beast` number, since 4 + 0 + 543 + 1 + 114 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3461679 + ... + 3462849.

It is an arithmetic number, because the mean of its divisors is an integer number (64391145).

Almost surely, 2^4054311144 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 4054311144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6181549920).

4054311144 is an abundant number, since it is smaller than the sum of its proper divisors (8308788696).

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

4054311144 is a wasteful number, since it uses less digits than its factorization.

4054311144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4054311144 is about 63673.4728438775. The cubic root of 4054311144 is about 1594.5532426032.

Adding to 4054311144 its reverse (4411134504), we get a palindrome (8465445648).

The spelling of 4054311144 in words is "four billion, fifty-four million, three hundred eleven thousand, one hundred forty-four".