8404044440400 has 480 divisors, whose sum is σ = 34293278542080. Its totient is φ = 1914859284480.

The previous prime is 8404044440383. The next prime is 8404044440419. The reversal of 8404044440400 is 40444404048.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 23789862 + ... + 24140538.

It is an arithmetic number, because the mean of its divisors is an integer number (71444330296).

Almost surely, 2^{8404044440400} is an apocalyptic number.

8404044440400 is a gapful number since it is divisible by the number (80) 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 8404044440400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17146639271040).

8404044440400 is an abundant number, since it is smaller than the sum of its proper divisors (25889234101680).

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

8404044440400 is a wasteful number, since it uses less digits than its factorization.

8404044440400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351028 (or 351011 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 36.

Adding to 8404044440400 its reverse (40444404048), we get a palindrome (8444488844448).

It can be divided in two parts, 840404 and 4440400, that added together give a square (5280804 = 2298²).

The spelling of 8404044440400 in words is "eight trillion, four hundred four billion, forty-four million, four hundred forty thousand, four hundred".