444000000444 has 384 divisors, whose sum is σ = 1503804825600. Its totient is φ = 98123166720.

The previous prime is 444000000421. The next prime is 444000000503.

444000000444 is nontrivially palindromic in base 10.

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8418147 + ... + 8470725.

It is an arithmetic number, because the mean of its divisors is an integer number (3916158400).

Almost surely, 2^444000000444 is an apocalyptic number.

444000000444 is a gapful number since it is divisible by the number (44) 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 444000000444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751902412800).

444000000444 is an abundant number, since it is smaller than the sum of its proper divisors (1059804825156).

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

444000000444 is a wasteful number, since it uses less digits than its factorization.

444000000444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52673 (or 52671 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

It can be divided in two parts, 444000000 and 444, that multiplied together give a square (197136000000 = 444000²).

The spelling of 444000000444 in words is "four hundred forty-four billion, four hundred forty-four", and thus it is an aban number.