444680863800 has 192 divisors, whose sum is σ = 1454612256000. Its totient is φ = 112151086080.

The previous prime is 444680863789. The next prime is 444680863801. The reversal of 444680863800 is 8368086444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444680863801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1047171 + ... + 1409229.

It is an arithmetic number, because the mean of its divisors is an integer number (7576105500).

Almost surely, 2^444680863800 is an apocalyptic number.

444680863800 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 444680863800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727306128000).

444680863800 is an abundant number, since it is smaller than the sum of its proper divisors (1009931392200).

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

444680863800 is a wasteful number, since it uses less digits than its factorization.

444680863800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362190 (or 362181 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 51.

The spelling of 444680863800 in words is "four hundred forty-four billion, six hundred eighty million, eight hundred sixty-three thousand, eight hundred".