4448400000 has 384 divisors, whose sum is σ = 16159590720. Its totient is φ = 1075200000.

The previous prime is 4448399993. The next prime is 4448400029. The reversal of 4448400000 is 48444.

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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13199832 + ... + 13200168.

Almost surely, 2^4448400000 is an apocalyptic number.

4448400000 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 4448400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8079795360).

4448400000 is an abundant number, since it is smaller than the sum of its proper divisors (11711190720).

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

4448400000 is an equidigital number, since it uses as much as digits as its factorization.

4448400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 358 counting only the distinct ones).

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

The square root of 4448400000 is about 66696.3267354357. The cubic root of 4448400000 is about 1644.6290001994.

Adding to 4448400000 its reverse (48444), we get a palindrome (4448448444).

The spelling of 4448400000 in words is "four billion, four hundred forty-eight million, four hundred thousand".