44404044444400 has 120 divisors (see below), whose sum is σ = 108332211169728. Its totient is φ = 17488598400000.

The previous prime is 44404044444371. The next prime is 44404044444427. The reversal of 44404044444400 is 444444040444.

44404044444400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4276185 + ... + 10348615.

Almost surely, 2^{44404044444400} is an apocalyptic number.

44404044444400 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 44404044444400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54166105584864).

44404044444400 is an abundant number, since it is smaller than the sum of its proper divisors (63928166725328).

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

44404044444400 is a wasteful number, since it uses less digits than its factorization.

44404044444400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6072731 (or 6072720 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 40.

Adding to 44404044444400 its reverse (444444040444), we get a palindrome (44848488484844).

The spelling of 44404044444400 in words is "forty-four trillion, four hundred four billion, forty-four million, four hundred forty-four thousand, four hundred".