4434214440 has 128 divisors (see below), whose sum is σ = 13561632000. Its totient is φ = 1159557120.

The previous prime is 4434214439. The next prime is 4434214451. The reversal of 4434214440 is 444124344.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4434214398 and 4434214407.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3168861 + ... + 3170259.

It is an arithmetic number, because the mean of its divisors is an integer number (105950250).

Almost surely, 2^4434214440 is an apocalyptic number.

4434214440 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 4434214440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6780816000).

4434214440 is an abundant number, since it is smaller than the sum of its proper divisors (9127417560).

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

4434214440 is a wasteful number, since it uses less digits than its factorization.

4434214440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1907 (or 1903 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

The square root of 4434214440 is about 66589.8974319679. The cubic root of 4434214440 is about 1642.8789457616.

Adding to 4434214440 its reverse (444124344), we get a palindrome (4878338784).

The spelling of 4434214440 in words is "four billion, four hundred thirty-four million, two hundred fourteen thousand, four hundred forty".