44219173102272 has 1680 divisors, whose sum is σ = 158502938711040. Its totient is φ = 12148351488000.

The previous prime is 44219173102253. The next prime is 44219173102301. The reversal of 44219173102272 is 27220137191244.

It is a happy number.

44219173102272 is a `hidden beast` number, since 4 + 4 + 21 + 91 + 7 + 310 + 227 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 198292255953 + ... + 198292256175.

It is an arithmetic number, because the mean of its divisors is an integer number (94346987328).

Almost surely, 2^{44219173102272} is an apocalyptic number.

44219173102272 is a gapful number since it is divisible by the number (42) 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 44219173102272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79251469355520).

44219173102272 is an abundant number, since it is smaller than the sum of its proper divisors (114283765608768).

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

44219173102272 is a wasteful number, since it uses less digits than its factorization.

44219173102272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 44219173102272 in words is "forty-four trillion, two hundred nineteen billion, one hundred seventy-three million, one hundred two thousand, two hundred seventy-two".