4434404000 has 192 divisors, whose sum is σ = 11962248480. Its totient is φ = 1605427200.

The previous prime is 4434403999. The next prime is 4434404017. The reversal of 4434404000 is 4044344.

It can be written as a sum of positive squares in 16 ways, for example, as 2572816 + 4431831184 = 1604^2 + 66572^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2755196 + ... + 2756804.

Almost surely, 2^4434404000 is an apocalyptic number.

4434404000 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 4434404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5981124240).

4434404000 is an abundant number, since it is smaller than the sum of its proper divisors (7527844480).

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

4434404000 is a wasteful number, since it uses less digits than its factorization.

4434404000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1700 (or 1682 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

The square root of 4434404000 is about 66591.3207557862. The cubic root of 4434404000 is about 1642.9023561236.

Adding to 4434404000 its reverse (4044344), we get a palindrome (4438448344).

The spelling of 4434404000 in words is "four billion, four hundred thirty-four million, four hundred four thousand".