444444200400 has 120 divisors (see below), whose sum is σ = 1423899461824. Its totient is φ = 118502092800.

The previous prime is 444444200393. The next prime is 444444200419. The reversal of 444444200400 is 4002444444.

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 (30).

It is a congruent number.

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, 10463205 + ... + 10505595.

Almost surely, 2^444444200400 is an apocalyptic number.

444444200400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444444200400 is an abundant number, since it is smaller than the sum of its proper divisors (979455261424).

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

444444200400 is a wasteful number, since it uses less digits than its factorization.

444444200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51149 (or 51138 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 30.

Adding to 444444200400 its reverse (4002444444), we get a palindrome (448446644844).

The spelling of 444444200400 in words is "four hundred forty-four billion, four hundred forty-four million, two hundred thousand, four hundred".