144211301533420 has 384 divisors, whose sum is σ = 366512097853440. Its totient is φ = 47048031744000.

The previous prime is 144211301533331. The next prime is 144211301533463. The reversal of 144211301533420 is 24335103112441.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 9771068001 + ... + 9771082759.

It is an arithmetic number, because the mean of its divisors is an integer number (954458588160).

Almost surely, 2^{144211301533420} is an apocalyptic number.

144211301533420 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 144211301533420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183256048926720).

144211301533420 is an abundant number, since it is smaller than the sum of its proper divisors (222300796320020).

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

144211301533420 is a wasteful number, since it uses less digits than its factorization.

144211301533420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16085 (or 16083 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

Adding to 144211301533420 its reverse (24335103112441), we get a palindrome (168546404645861).

The spelling of 144211301533420 in words is "one hundred forty-four trillion, two hundred eleven billion, three hundred one million, five hundred thirty-three thousand, four hundred twenty".