144542444534400 has 192 divisors, whose sum is σ = 519367284036000. Its totient is φ = 35040592588800.

The previous prime is 144542444534357. The next prime is 144542444534407. The reversal of 144542444534400 is 4435444245441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 144542444534400.

It is not an unprimeable number, because it can be changed into a prime (144542444534407) 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, 684280975 + ... + 684492174.

Almost surely, 2^{144542444534400} is an apocalyptic number.

144542444534400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144542444534400 is an abundant number, since it is smaller than the sum of its proper divisors (374824839501600).

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

144542444534400 is a wasteful number, since it uses less digits than its factorization.

144542444534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368773187 (or 1368773170 counting only the distinct ones).

The product of its (nonzero) digits is 9830400, while the sum is 48.

Adding to 144542444534400 its reverse (4435444245441), we get a palindrome (148977888779841).

The spelling of 144542444534400 in words is "one hundred forty-four trillion, five hundred forty-two billion, four hundred forty-four million, five hundred thirty-four thousand, four hundred".