4144054752 has 144 divisors (see below), whose sum is σ = 11941020000. Its totient is φ = 1363172352.

The previous prime is 4144054741. The next prime is 4144054753. The reversal of 4144054752 is 2574504414.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (4144054753) 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, 11543149 + ... + 11543507.

It is an arithmetic number, because the mean of its divisors is an integer number (82923750).

Almost surely, 2^4144054752 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 4144054752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5970510000).

4144054752 is an abundant number, since it is smaller than the sum of its proper divisors (7796965248).

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

4144054752 is a wasteful number, since it uses less digits than its factorization.

4144054752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 36.

The square root of 4144054752 is about 64374.3330217875. Note that the first 3 decimals coincide. The cubic root of 4144054752 is about 1606.2328176292.

The spelling of 4144054752 in words is "four billion, one hundred forty-four million, fifty-four thousand, seven hundred fifty-two".