44074214216800 has 144 divisors (see below), whose sum is σ = 108258151034880. Its totient is φ = 17521255272960.

The previous prime is 44074214216759. The next prime is 44074214216801. The reversal of 44074214216800 is 861241247044.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44074214216801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 940386967 + ... + 940433833.

It is an arithmetic number, because the mean of its divisors is an integer number (751792715520).

Almost surely, 2^{44074214216800} is an apocalyptic number.

44074214216800 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 44074214216800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54129075517440).

44074214216800 is an abundant number, since it is smaller than the sum of its proper divisors (64183936818080).

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

44074214216800 is a wasteful number, since it uses less digits than its factorization.

44074214216800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54093 (or 54080 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 43.

The spelling of 44074214216800 in words is "forty-four trillion, seventy-four billion, two hundred fourteen million, two hundred sixteen thousand, eight hundred".