444080441400 has 96 divisors (see below), whose sum is σ = 1378068940800. Its totient is φ = 118299337600.

The previous prime is 444080441383. The next prime is 444080441471. The reversal of 444080441400 is 4144080444.

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 23 ways as a sum of consecutive naturals, for example, 201481 + ... + 963719.

It is an arithmetic number, because the mean of its divisors is an integer number (14354884800).

Almost surely, 2^444080441400 is an apocalyptic number.

444080441400 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 444080441400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689034470400).

444080441400 is an abundant number, since it is smaller than the sum of its proper divisors (933988499400).

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

444080441400 is a wasteful number, since it uses less digits than its factorization.

444080441400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763229 (or 763220 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 33.

The spelling of 444080441400 in words is "four hundred forty-four billion, eighty million, four hundred forty-one thousand, four hundred".