4444404440400 has 360 divisors, whose sum is σ = 15787950194016. Its totient is φ = 1157175936000.

The previous prime is 4444404440393. The next prime is 4444404440419. The reversal of 4444404440400 is 40444044444.

It is a tau number, because it is divible by the number of its divisors (360).

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 71 ways as a sum of consecutive naturals, for example, 719971714 + ... + 719977886.

Almost surely, 2^{4444404440400} is an apocalyptic number.

4444404440400 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 4444404440400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7893975097008).

4444404440400 is an abundant number, since it is smaller than the sum of its proper divisors (11343545753616).

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

4444404440400 is a wasteful number, since it uses less digits than its factorization.

4444404440400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10891 (or 10877 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 36.

Adding to 4444404440400 its reverse (40444044444), we get a palindrome (4484848484844).

It can be divided in two parts, 44 and 44404440400, that added together give a palindrome (44404440444).

The spelling of 4444404440400 in words is "four trillion, four hundred forty-four billion, four hundred four million, four hundred forty thousand, four hundred".