144041264000 has 128 divisors (see below), whose sum is σ = 363031325280. Its totient is φ = 56826777600.

The previous prime is 144041263979. The next prime is 144041264011. The reversal of 144041264000 is 462140441.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1106339 + ... + 1229661.

Almost surely, 2^144041264000 is an apocalyptic number.

144041264000 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 144041264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181515662640).

144041264000 is an abundant number, since it is smaller than the sum of its proper divisors (218990061280).

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

144041264000 is an equidigital number, since it uses as much as digits as its factorization.

144041264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123425 (or 123403 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The spelling of 144041264000 in words is "one hundred forty-four billion, forty-one million, two hundred sixty-four thousand".