444866827000000 has 196 divisors, whose sum is σ = 1103582734897680. Its totient is φ = 177927606400000.

The previous prime is 444866826999989. The next prime is 444866827000081. The reversal of 444866827000000 is 728668444.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 444866826999899 and 444866826999908.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 12652982421 + ... + 12653017579.

Almost surely, 2^{444866827000000} is an apocalyptic number.

444866827000000 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 444866827000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551791367448840).

444866827000000 is an abundant number, since it is smaller than the sum of its proper divisors (658715907897680).

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

444866827000000 is an frugal number, since it uses more digits than its factorization.

444866827000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47854 (or 47819 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 49.

The spelling of 444866827000000 in words is "four hundred forty-four trillion, eight hundred sixty-six billion, eight hundred twenty-seven million", and thus it is an aban number.