4444004400 has 120 divisors (see below), whose sum is σ = 15529821504. Its totient is φ = 1077331200.

The previous prime is 4444004393. The next prime is 4444004419. The reversal of 4444004400 is 44004444.

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

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 zygodrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155134 + ... + 181533.

Almost surely, 2^4444004400 is an apocalyptic number.

4444004400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4444004400 is an abundant number, since it is smaller than the sum of its proper divisors (11085817104).

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

4444004400 is a wasteful number, since it uses less digits than its factorization.

4444004400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336699 (or 336688 counting only the distinct ones).

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

The square root of 4444004400 is about 66663.3662516378. The cubic root of 4444004400 is about 1644.0871189499.

Adding to 4444004400 its reverse (44004444), we get a palindrome (4488008844).

The spelling of 4444004400 in words is "four billion, four hundred forty-four million, four thousand, four hundred".