144004441421400 has 384 divisors, whose sum is σ = 514784740953600. Its totient is φ = 32618776780800.

The previous prime is 144004441421383. The next prime is 144004441421471. The reversal of 144004441421400 is 4124144400441.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 3479271906 + ... + 3479313294.

It is an arithmetic number, because the mean of its divisors is an integer number (1340585262900).

Almost surely, 2^{144004441421400} is an apocalyptic number.

144004441421400 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 144004441421400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257392370476800).

144004441421400 is an abundant number, since it is smaller than the sum of its proper divisors (370780299532200).

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

144004441421400 is a wasteful number, since it uses less digits than its factorization.

144004441421400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48859 (or 48850 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 33.

Adding to 144004441421400 its reverse (4124144400441), we get a palindrome (148128585821841).

The spelling of 144004441421400 in words is "one hundred forty-four trillion, four billion, four hundred forty-one million, four hundred twenty-one thousand, four hundred".