144041164800 has 720 divisors, whose sum is σ = 524238446592. Its totient is φ = 34681651200.

The previous prime is 144041164789. The next prime is 144041164801. The reversal of 144041164800 is 8461140441.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144041164801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1134182337 + ... + 1134182463.

Almost surely, 2^144041164800 is an apocalyptic number.

144041164800 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 144041164800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262119223296).

144041164800 is an abundant number, since it is smaller than the sum of its proper divisors (380197281792).

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

144041164800 is a wasteful number, since it uses less digits than its factorization.

144041164800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The spelling of 144041164800 in words is "one hundred forty-four billion, forty-one million, one hundred sixty-four thousand, eight hundred".