44222751820800 has 1584 divisors, whose sum is σ = 195518936433600. Its totient is φ = 9513176924160.

The previous prime is 44222751820781. The next prime is 44222751820811. The reversal of 44222751820800 is 802815722244.

44222751820800 is a `hidden beast` number, since 4 + 422 + 2 + 7 + 5 + 18 + 208 + 0 + 0 = 666.

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

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 143 ways as a sum of consecutive naturals, for example, 1343445942 + ... + 1343478858.

Almost surely, 2^{44222751820800} is an apocalyptic number.

44222751820800 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 44222751820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97759468216800).

44222751820800 is an abundant number, since it is smaller than the sum of its proper divisors (151296184612800).

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

44222751820800 is a wasteful number, since it uses less digits than its factorization.

44222751820800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32991 (or 32951 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

The spelling of 44222751820800 in words is "forty-four trillion, two hundred twenty-two billion, seven hundred fifty-one million, eight hundred twenty thousand, eight hundred".