4144362720 has 192 divisors, whose sum is σ = 13680285696. Its totient is φ = 1053296640.

The previous prime is 4144362683. The next prime is 4144362721. The reversal of 4144362720 is 272634414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4144362721) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 994882 + ... + 999038.

It is an arithmetic number, because the mean of its divisors is an integer number (71251488).

Almost surely, 2^4144362720 is an apocalyptic number.

4144362720 is a gapful number since it is divisible by the number (40) 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 4144362720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6840142848).

4144362720 is an abundant number, since it is smaller than the sum of its proper divisors (9535922976).

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

4144362720 is a wasteful number, since it uses less digits than its factorization.

4144362720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4273 (or 4265 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 4144362720 is about 64376.7249865974. The cubic root of 4144362720 is about 1606.2726060398.

The spelling of 4144362720 in words is "four billion, one hundred forty-four million, three hundred sixty-two thousand, seven hundred twenty".