4400048400 has 120 divisors (see below), whose sum is σ = 15376215264. Its totient is φ = 1066675200.

The previous prime is 4400048383. The next prime is 4400048407. The reversal of 4400048400 is 48400044.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×4400048400³ (a number of 30 digits) contains 333 as substring.

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.

4400048400 is a modest number, since divided by 48400 gives 4400 as remainder.

It is not an unprimeable number, because it can be changed into a prime (4400048407) 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 23 ways as a sum of consecutive naturals, for example, 153469 + ... + 179868.

Almost surely, 2^4400048400 is an apocalyptic number.

4400048400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4400048400 is an abundant number, since it is smaller than the sum of its proper divisors (10976166864).

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

4400048400 is a wasteful number, since it uses less digits than its factorization.

4400048400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333369 (or 333358 counting only the distinct ones).

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

The square root of 4400048400 is about 66332.8606348317. The cubic root of 4400048400 is about 1638.6485495352.

Adding to 4400048400 its reverse (48400044), we get a palindrome (4448448444).

The spelling of 4400048400 in words is "four billion, four hundred million, forty-eight thousand, four hundred".