44226816480 has 1728 divisors, whose sum is σ = 210812958720. Its totient is φ = 8539914240.

The previous prime is 44226816467. The next prime is 44226816523. The reversal of 44226816480 is 8461862244.

44226816480 is a `hidden beast` number, since 4 + 422 + 68 + 164 + 8 + 0 = 666.

It is a super-2 number, since 2×44226816480² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 559833081 + ... + 559833159.

It is an arithmetic number, because the mean of its divisors is an integer number (121998240).

Almost surely, 2^44226816480 is an apocalyptic number.

44226816480 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 44226816480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105406479360).

44226816480 is an abundant number, since it is smaller than the sum of its proper divisors (166586142240).

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

44226816480 is a wasteful number, since it uses less digits than its factorization.

44226816480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 44226816480 in words is "forty-four billion, two hundred twenty-six million, eight hundred sixteen thousand, four hundred eighty".