4144241808 has 120 divisors (see below), whose sum is σ = 13296111296. Its totient is φ = 1180396800.

The previous prime is 4144241807. The next prime is 4144241809. The reversal of 4144241808 is 8081424414.

It is an interprime number because it is at equal distance from previous prime (4144241807) and next prime (4144241809).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4144241807) 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, 327438 + ... + 339858.

Almost surely, 2^4144241808 is an apocalyptic number.

4144241808 is a gapful number since it is divisible by the number (48) 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 4144241808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6648055648).

4144241808 is an abundant number, since it is smaller than the sum of its proper divisors (9151869488).

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

4144241808 is a wasteful number, since it uses less digits than its factorization.

4144241808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12773 (or 12764 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 4144241808 is about 64375.7858825817. The cubic root of 4144241808 is about 1606.2569848586.

The spelling of 4144241808 in words is "four billion, one hundred forty-four million, two hundred forty-one thousand, eight hundred eight".