44202200368800 has 144 divisors (see below), whose sum is σ = 143906374840032. Its totient is φ = 11784942105600.

The previous prime is 44202200368787. The next prime is 44202200368819. The reversal of 44202200368800 is 886300220244.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10453630 + ... + 14059970.

It is an arithmetic number, because the mean of its divisors is an integer number (999349825278).

Almost surely, 2^{44202200368800} is an apocalyptic number.

44202200368800 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 44202200368800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71953187420016).

44202200368800 is an abundant number, since it is smaller than the sum of its proper divisors (99704174471232).

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

44202200368800 is a wasteful number, since it uses less digits than its factorization.

44202200368800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3611471 (or 3611458 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 39.

The spelling of 44202200368800 in words is "forty-four trillion, two hundred two billion, two hundred million, three hundred sixty-eight thousand, eight hundred".