14444410202240 has 256 divisors, whose sum is σ = 36322425216000. Its totient is φ = 5482161451008.

The previous prime is 14444410202179. The next prime is 14444410202281. The reversal of 14444410202240 is 4220201444441.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 14444410202197 and 14444410202206.

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 31 ways as a sum of consecutive naturals, for example, 3328969991 + ... + 3328974329.

It is an arithmetic number, because the mean of its divisors is an integer number (141884473500).

Almost surely, 2^{14444410202240} is an apocalyptic number.

14444410202240 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 14444410202240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18161212608000).

14444410202240 is an abundant number, since it is smaller than the sum of its proper divisors (21878015013760).

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

14444410202240 is a wasteful number, since it uses less digits than its factorization.

14444410202240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6147 (or 6135 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 32.

Adding to 14444410202240 its reverse (4220201444441), we get a palindrome (18664611646681).

The spelling of 14444410202240 in words is "fourteen trillion, four hundred forty-four billion, four hundred ten million, two hundred two thousand, two hundred forty".