44221380084000 has 3456 divisors, whose sum is σ = 202571739482112. Its totient is φ = 9274167705600.

The previous prime is 44221380083999. The next prime is 44221380084029. The reversal of 44221380084000 is 48008312244.

44221380084000 is a `hidden beast` number, since 442 + 2 + 138 + 0 + 0 + 84 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 575 ways as a sum of consecutive naturals, for example, 84553307739 + ... + 84553308261.

It is an arithmetic number, because the mean of its divisors is an integer number (58614507952).

Almost surely, 2^{44221380084000} is an apocalyptic number.

44221380084000 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 44221380084000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101285869741056).

44221380084000 is an abundant number, since it is smaller than the sum of its proper divisors (158350359398112).

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

44221380084000 is a wasteful number, since it uses less digits than its factorization.

44221380084000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

Adding to 44221380084000 its reverse (48008312244), we get a palindrome (44269388396244).

The spelling of 44221380084000 in words is "forty-four trillion, two hundred twenty-one billion, three hundred eighty million, eighty-four thousand".