44022296104900 has 243 divisors, whose sum is σ = 104940687921447. Its totient is φ = 16025744524800.

The previous prime is 44022296104793. The next prime is 44022296104901. The reversal of 44022296104900 is 940169222044.

The square root of 44022296104900 is 6634930.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1029725680516 + 42992570424384 = 1014754^2 + 6556872^2 .

It is not an unprimeable number, because it can be changed into a prime (44022296104901) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 34966080471 + ... + 34966081729.

Almost surely, 2^{44022296104900} is an apocalyptic number.

44022296104900 is the 6634930-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44022296104900

44022296104900 is an abundant number, since it is smaller than the sum of its proper divisors (60918391816547).

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

44022296104900 is a wasteful number, since it uses less digits than its factorization.

44022296104900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2628 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 43.

The spelling of 44022296104900 in words is "forty-four trillion, twenty-two billion, two hundred ninety-six million, one hundred four thousand, nine hundred".