4181006144 has 84 divisors (see below), whose sum is σ = 9768132864. Its totient is φ = 1770160896.

The previous prime is 4181006131. The next prime is 4181006147. The reversal of 4181006144 is 4416001814.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4181006147) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 252257 + ... + 268319.

It is an arithmetic number, because the mean of its divisors is an integer number (116287296).

Almost surely, 2^4181006144 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 4181006144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4884066432).

4181006144 is an abundant number, since it is smaller than the sum of its proper divisors (5587126720).

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

4181006144 is a wasteful number, since it uses less digits than its factorization.

4181006144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16172 (or 16155 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 4181006144 is about 64660.7001508644. The cubic root of 4181006144 is about 1610.9928092068.

Adding to 4181006144 its reverse (4416001814), we get a palindrome (8597007958).

The spelling of 4181006144 in words is "four billion, one hundred eighty-one million, six thousand, one hundred forty-four".