144442444340200 has 192 divisors, whose sum is σ = 344653833600000. Its totient is φ = 56271052400640.

The previous prime is 144442444340119. The next prime is 144442444340309. The reversal of 144442444340200 is 2043444244441.

144442444340200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3264287676 + ... + 3264331924.

It is an arithmetic number, because the mean of its divisors is an integer number (1795072050000).

Almost surely, 2^{144442444340200} is an apocalyptic number.

144442444340200 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 144442444340200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172326916800000).

144442444340200 is an abundant number, since it is smaller than the sum of its proper divisors (200211389259800).

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

144442444340200 is a wasteful number, since it uses less digits than its factorization.

144442444340200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46004 (or 45995 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 40.

Adding to 144442444340200 its reverse (2043444244441), we get a palindrome (146485888584641).

The spelling of 144442444340200 in words is "one hundred forty-four trillion, four hundred forty-two billion, four hundred forty-four million, three hundred forty thousand, two hundred".