4401310144 has 168 divisors, whose sum is σ = 11202111200. Its totient is φ = 1713761280.

The previous prime is 4401310141. The next prime is 4401310163. The reversal of 4401310144 is 4410131044.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4401310141) 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, 2655364 + ... + 2657020.

Almost surely, 2^4401310144 is an apocalyptic number.

4401310144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4401310144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5601055600).

4401310144 is an abundant number, since it is smaller than the sum of its proper divisors (6800801056).

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

4401310144 is a wasteful number, since it uses less digits than its factorization.

4401310144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1712 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 4401310144 is about 66342.3706540549. The cubic root of 4401310144 is about 1638.8051657957.

Adding to 4401310144 its reverse (4410131044), we get a palindrome (8811441188).

Subtracting 4401310144 from its reverse (4410131044), we obtain a square (8820900 = 2970²).

The spelling of 4401310144 in words is "four billion, four hundred one million, three hundred ten thousand, one hundred forty-four".