444404000400 has 120 divisors (see below), whose sum is σ = 1424688650400. Its totient is φ = 118414955520.

The previous prime is 444404000371. The next prime is 444404000419. The reversal of 444404000400 is 4000404444.

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 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 23 ways as a sum of consecutive naturals, for example, 1395276 + ... + 1683924.

It is an arithmetic number, because the mean of its divisors is an integer number (11872405420).

Almost surely, 2^444404000400 is an apocalyptic number.

444404000400 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 444404000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712344325200).

444404000400 is an abundant number, since it is smaller than the sum of its proper divisors (980284650000).

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

444404000400 is a wasteful number, since it uses less digits than its factorization.

444404000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289953 (or 289942 counting only the distinct ones).

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

Adding to 444404000400 its reverse (4000404444), we get a palindrome (448404404844).

The spelling of 444404000400 in words is "four hundred forty-four billion, four hundred four million, four hundred", and thus it is an aban number.