4244400000 has 480 divisors, whose sum is σ = 15908591160. Its totient is φ = 1123200000.

The previous prime is 4244399993. The next prime is 4244400019. The reversal of 4244400000 is 44424.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 32399935 + ... + 32400065.

Almost surely, 2^4244400000 is an apocalyptic number.

4244400000 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 4244400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7954295580).

4244400000 is an abundant number, since it is smaller than the sum of its proper divisors (11664191160).

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

4244400000 is an frugal number, since it uses more digits than its factorization.

4244400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 4244400000 is about 65149.0598550739. The cubic root of 4244400000 is about 1619.0941437721.

Adding to 4244400000 its reverse (44424), we get a palindrome (4244444424).

The spelling of 4244400000 in words is "four billion, two hundred forty-four million, four hundred thousand".