144041110400 has 288 divisors, whose sum is σ = 398551444200. Its totient is φ = 51382988800.

The previous prime is 144041110363. The next prime is 144041110403. The reversal of 144041110400 is 4011140441.

It is a happy number.

144041110400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144041110403) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20518091 + ... + 20525109.

Almost surely, 2^144041110400 is an apocalyptic number.

144041110400 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 144041110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199275722100).

144041110400 is an abundant number, since it is smaller than the sum of its proper divisors (254510333800).

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

144041110400 is a wasteful number, since it uses less digits than its factorization.

144041110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7118 (or 7090 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 144041110400 its reverse (4011140441), we get a palindrome (148052250841).

The spelling of 144041110400 in words is "one hundred forty-four billion, forty-one million, one hundred ten thousand, four hundred".