4144731136 has 176 divisors, whose sum is σ = 10738725760. Its totient is φ = 1552711680.

The previous prime is 4144731113. The next prime is 4144731137. The reversal of 4144731136 is 6311374414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4144731137) 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 15 ways as a sum of consecutive naturals, for example, 1769326 + ... + 1771666.

Almost surely, 2^4144731136 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 4144731136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5369362880).

4144731136 is an abundant number, since it is smaller than the sum of its proper divisors (6593994624).

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

4144731136 is a wasteful number, since it uses less digits than its factorization.

4144731136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2400 (or 2382 counting only the distinct ones).

The product of its digits is 24192, while the sum is 34.

The square root of 4144731136 is about 64379.5863298297. The cubic root of 4144731136 is about 1606.3202015354.

The spelling of 4144731136 in words is "four billion, one hundred forty-four million, seven hundred thirty-one thousand, one hundred thirty-six".