444004402400 has 72 divisors (see below), whose sum is σ = 1167304678344. Its totient is φ = 163940083200.

The previous prime is 444004402343. The next prime is 444004402417. The reversal of 444004402400 is 4204400444.

It is a happy number.

It is a super-2 number, since 2×444004402400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 444004402400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21335966 + ... + 21356765.

It is an arithmetic number, because the mean of its divisors is an integer number (16212564977).

Almost surely, 2^444004402400 is an apocalyptic number.

444004402400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444004402400 is an abundant number, since it is smaller than the sum of its proper divisors (723300275944).

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

444004402400 is a wasteful number, since it uses less digits than its factorization.

444004402400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42692764 (or 42692751 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

Adding to 444004402400 its reverse (4204400444), we get a palindrome (448208802844).

The spelling of 444004402400 in words is "four hundred forty-four billion, four million, four hundred two thousand, four hundred".