144404256000 has 576 divisors, whose sum is σ = 534696664320. Its totient is φ = 34327756800.

The previous prime is 144404255923. The next prime is 144404256023. The reversal of 144404256000 is 652404441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31005672 + ... + 31010328.

It is an arithmetic number, because the mean of its divisors is an integer number (928292820).

Almost surely, 2^144404256000 is an apocalyptic number.

144404256000 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 144404256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267348332160).

144404256000 is an abundant number, since it is smaller than the sum of its proper divisors (390292408320).

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

144404256000 is a wasteful number, since it uses less digits than its factorization.

144404256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4727 (or 4703 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The spelling of 144404256000 in words is "one hundred forty-four billion, four hundred four million, two hundred fifty-six thousand".