4444400400 has 240 divisors, whose sum is σ = 16207534080. Its totient is φ = 1030515200.

The previous prime is 4444400347. The next prime is 4444400413. The reversal of 4444400400 is 40044444.

It is a tau number, because it is divible by the number of its divisors (240).

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 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, 296281 + ... + 310919.

It is an arithmetic number, because the mean of its divisors is an integer number (67531392).

Almost surely, 2^4444400400 is an apocalyptic number.

4444400400 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 4444400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8103767040).

4444400400 is an abundant number, since it is smaller than the sum of its proper divisors (11763133680).

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

4444400400 is a wasteful number, since it uses less digits than its factorization.

4444400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14694 (or 14683 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 4444400400 is about 66666.3363325149. The cubic root of 4444400400 is about 1644.1359517220.

Adding to 4444400400 its reverse (40044444), we get a palindrome (4484444844).

It can be divided in two parts, 44 and 44400400, that added together give a palindrome (44400444).

The spelling of 4444400400 in words is "four billion, four hundred forty-four million, four hundred thousand, four hundred".