444000200400 has 180 divisors, whose sum is σ = 1621899227520. Its totient is φ = 112168454400.

The previous prime is 444000200387. The next prime is 444000200453. The reversal of 444000200400 is 4002000444.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3177216 + ... + 3314015.

It is an arithmetic number, because the mean of its divisors is an integer number (9010551264).

Almost surely, 2^444000200400 is an apocalyptic number.

444000200400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444000200400 is an abundant number, since it is smaller than the sum of its proper divisors (1177899027120).

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

444000200400 is a wasteful number, since it uses less digits than its factorization.

444000200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6491274 (or 6491260 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 444000200400 its reverse (4002000444), we get a palindrome (448002200844).

The spelling of 444000200400 in words is "four hundred forty-four billion, two hundred thousand, four hundred".