44400243340200 has 768 divisors, whose sum is σ = 161305675776000. Its totient is φ = 9996844032000.

The previous prime is 44400243340181. The next prime is 44400243340207. The reversal of 44400243340200 is 204334200444.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (44400243340207) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 990855396 + ... + 990900204.

It is an arithmetic number, because the mean of its divisors is an integer number (210033432000).

Almost surely, 2^{44400243340200} is an apocalyptic number.

44400243340200 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 44400243340200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80652837888000).

44400243340200 is an abundant number, since it is smaller than the sum of its proper divisors (116905432435800).

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

44400243340200 is a wasteful number, since it uses less digits than its factorization.

44400243340200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45066 (or 45057 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 44400243340200 its reverse (204334200444), we get a palindrome (44604577540644).

The spelling of 44400243340200 in words is "forty-four trillion, four hundred billion, two hundred forty-three million, three hundred forty thousand, two hundred".