102443444422400 has 216 divisors, whose sum is σ = 257563380701088. Its totient is φ = 40332902400000.

The previous prime is 102443444422399. The next prime is 102443444422409. The reversal of 102443444422400 is 4224444344201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102443444422409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 272906840 + ... + 273281960.

Almost surely, 2^{102443444422400} is an apocalyptic number.

102443444422400 is a gapful number since it is divisible by the number (10) 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 102443444422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128781690350544).

102443444422400 is an abundant number, since it is smaller than the sum of its proper divisors (155119936278688).

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

102443444422400 is an equidigital number, since it uses as much as digits as its factorization.

102443444422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375819 (or 375800 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 38.

Adding to 102443444422400 its reverse (4224444344201), we get a palindrome (106667888766601).

The spelling of 102443444422400 in words is "one hundred two trillion, four hundred forty-three billion, four hundred forty-four million, four hundred twenty-two thousand, four hundred".