44416622661444 has 192 divisors, whose sum is σ = 126394407659520. Its totient is φ = 13377052402560.

The previous prime is 44416622661421. The next prime is 44416622661637.

44416622661444 is a `hidden beast` number, since 4 + 4 + 4 + 1 + 6 + 622 + 6 + 6 + 1 + 4 + 4 + 4 = 666.

44416622661444 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

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 63 ways as a sum of consecutive naturals, for example, 221531889 + ... + 221732295.

It is an arithmetic number, because the mean of its divisors is an integer number (658304206560).

Almost surely, 2^{44416622661444} is an apocalyptic number.

44416622661444 is a gapful number since it is divisible by the number (44) 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 44416622661444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63197203829760).

44416622661444 is an abundant number, since it is smaller than the sum of its proper divisors (81977784998076).

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

44416622661444 is a wasteful number, since it uses less digits than its factorization.

44416622661444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201575 (or 201567 counting only the distinct ones).

The product of its digits is 21233664, while the sum is 54.

The spelling of 44416622661444 in words is "forty-four trillion, four hundred sixteen billion, six hundred twenty-two million, six hundred sixty-one thousand, four hundred forty-four".