444166734860160 has 512 divisors, whose sum is σ = 1548387368640000. Its totient is φ = 107645979033600.

The previous prime is 444166734860129. The next prime is 444166734860197. The reversal of 444166734860160 is 61068437661444.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 444166734860094 and 444166734860103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 450759691 + ... + 451743989.

It is an arithmetic number, because the mean of its divisors is an integer number (3024194079375).

Almost surely, 2^{444166734860160} is an apocalyptic number.

444166734860160 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 444166734860160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774193684320000).

444166734860160 is an abundant number, since it is smaller than the sum of its proper divisors (1104220633779840).

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

444166734860160 is a wasteful number, since it uses less digits than its factorization.

444166734860160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984614 (or 984602 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 60.

The spelling of 444166734860160 in words is "four hundred forty-four trillion, one hundred sixty-six billion, seven hundred thirty-four million, eight hundred sixty thousand, one hundred sixty".