144004100400 has 300 divisors, whose sum is σ = 522636582600. Its totient is φ = 37968860160.

The previous prime is 144004100353. The next prime is 144004100437. The reversal of 144004100400 is 4001400441.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2858631 + ... + 2908569.

It is an arithmetic number, because the mean of its divisors is an integer number (1742121942).

Almost surely, 2^144004100400 is an apocalyptic number.

144004100400 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 144004100400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261318291300).

144004100400 is an abundant number, since it is smaller than the sum of its proper divisors (378632482200).

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

144004100400 is a wasteful number, since it uses less digits than its factorization.

144004100400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50058 (or 50038 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 144004100400 its reverse (4001400441), we get a palindrome (148005500841).

The spelling of 144004100400 in words is "one hundred forty-four billion, four million, one hundred thousand, four hundred".