444400400400 has 120 divisors (see below), whose sum is σ = 1552977445344. Its totient is φ = 107733427200.

The previous prime is 444400400387. The next prime is 444400400401. The reversal of 444400400400 is 4004004444.

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 not an unprimeable number, because it can be changed into a prime (444400400401) by changing a digit.

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, 16820149 + ... + 16846548.

Almost surely, 2^444400400400 is an apocalyptic number.

444400400400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444400400400 is an abundant number, since it is smaller than the sum of its proper divisors (1108577044944).

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

444400400400 is a wasteful number, since it uses less digits than its factorization.

444400400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33666729 (or 33666718 counting only the distinct ones).

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

Adding to 444400400400 its reverse (4004004444), we get a palindrome (448404404844).

The spelling of 444400400400 in words is "four hundred forty-four billion, four hundred million, four hundred thousand, four hundred".