144034224013400 has 384 divisors, whose sum is σ = 400865037281280. Its totient is φ = 47058224209920.

The previous prime is 144034224013387. The next prime is 144034224013403. The reversal of 144034224013400 is 4310422430441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144034224013403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15701971214 + ... + 15701980386.

It is an arithmetic number, because the mean of its divisors is an integer number (1043919367920).

Almost surely, 2^{144034224013400} is an apocalyptic number.

144034224013400 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 144034224013400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200432518640640).

144034224013400 is an abundant number, since it is smaller than the sum of its proper divisors (256830813267880).

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

144034224013400 is a wasteful number, since it uses less digits than its factorization.

144034224013400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11003 (or 10994 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 144034224013400 its reverse (4310422430441), we get a palindrome (148344646443841).

The spelling of 144034224013400 in words is "one hundred forty-four trillion, thirty-four billion, two hundred twenty-four million, thirteen thousand, four hundred".