4441600000 has 156 divisors (see below), whose sum is σ = 11133928008. Its totient is φ = 1771520000.

The previous prime is 4441599971. The next prime is 4441600003. The reversal of 4441600000 is 61444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4441600003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12799827 + ... + 12800173.

Almost surely, 2^4441600000 is an apocalyptic number.

4441600000 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 4441600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5566964004).

4441600000 is an abundant number, since it is smaller than the sum of its proper divisors (6692328008).

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

4441600000 is an frugal number, since it uses more digits than its factorization.

4441600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 4441600000 is about 66645.3299189073. The cubic root of 4441600000 is about 1643.7905578720.

Adding to 4441600000 its reverse (61444), we get a palindrome (4441661444).

The spelling of 4441600000 in words is "four billion, four hundred forty-one million, six hundred thousand".