4417449840 has 240 divisors, whose sum is σ = 15781802400. Its totient is φ = 1104150528.

The previous prime is 4417449833. The next prime is 4417449857. The reversal of 4417449840 is 489447144.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1325296 + ... + 1328624.

It is an arithmetic number, because the mean of its divisors is an integer number (65757510).

Almost surely, 2^4417449840 is an apocalyptic number.

4417449840 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 4417449840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7890901200).

4417449840 is an abundant number, since it is smaller than the sum of its proper divisors (11364352560).

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

4417449840 is a wasteful number, since it uses less digits than its factorization.

4417449840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3464 (or 3455 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 4417449840 is about 66463.8987721906. The cubic root of 4417449840 is about 1640.8058997698.

It can be divided in two parts, 441744 and 9840, that added together give a square (451584 = 672²).

The spelling of 4417449840 in words is "four billion, four hundred seventeen million, four hundred forty-nine thousand, eight hundred forty".