444541005580000 has 360 divisors, whose sum is σ = 1272310102590912. Its totient is φ = 152399745792000.

The previous prime is 444541005579967. The next prime is 444541005580027. The reversal of 444541005580000 is 85500145444.

It is a super-3 number, since 3×444541005580000³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 59 ways as a sum of consecutive naturals, for example, 20602529212 + ... + 20602550788.

Almost surely, 2^{444541005580000} is an apocalyptic number.

444541005580000 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 444541005580000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636155051295456).

444541005580000 is an abundant number, since it is smaller than the sum of its proper divisors (827769097010912).

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

444541005580000 is a wasteful number, since it uses less digits than its factorization.

444541005580000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42644 (or 42614 counting only the distinct ones).

The product of its (nonzero) digits is 256000, while the sum is 40.

The spelling of 444541005580000 in words is "four hundred forty-four trillion, five hundred forty-one billion, five million, five hundred eighty thousand".