144121341313400 has 288 divisors, whose sum is σ = 384786468964800. Its totient is φ = 50099575680000.

The previous prime is 144121341313379. The next prime is 144121341313483. The reversal of 144121341313400 is 4313143121441.

It is a happy number.

It is a super-2 number, since 2×144121341313400² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 69865169 + ... + 71898431.

It is an arithmetic number, because the mean of its divisors is an integer number (1336064128350).

Almost surely, 2^{144121341313400} is an apocalyptic number.

144121341313400 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 144121341313400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192393234482400).

144121341313400 is an abundant number, since it is smaller than the sum of its proper divisors (240665127651400).

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

144121341313400 is a wasteful number, since it uses less digits than its factorization.

144121341313400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2033431 (or 2033411 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 144121341313400 its reverse (4313143121441), we get a palindrome (148434484434841).

The spelling of 144121341313400 in words is "one hundred forty-four trillion, one hundred twenty-one billion, three hundred forty-one million, three hundred thirteen thousand, four hundred".