4484400000 has 384 divisors, whose sum is σ = 15442449120. Its totient is φ = 1152000000.

The previous prime is 4484399971. The next prime is 4484400017. The reversal of 4484400000 is 44844.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 44399950 + ... + 44400050.

Almost surely, 2^4484400000 is an apocalyptic number.

4484400000 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 4484400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7721224560).

4484400000 is an abundant number, since it is smaller than the sum of its proper divisors (10958049120).

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

4484400000 is an equidigital number, since it uses as much as digits as its factorization.

4484400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 4484400000 is about 66965.6628429824. The cubic root of 4484400000 is about 1649.0536354574.

Adding to 4484400000 its reverse (44844), we get a palindrome (4484444844).

4484400000 divided by its reverse (44844) gives a 5-th power (100000 = 10⁵).

The spelling of 4484400000 in words is "four billion, four hundred eighty-four million, four hundred thousand".