144449445120 has 576 divisors, whose sum is σ = 491093729280. Its totient is φ = 36134092800.

The previous prime is 144449445083. The next prime is 144449445149. The reversal of 144449445120 is 21544944441.

It is a happy number.

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, 920060082 + ... + 920060238.

It is an arithmetic number, because the mean of its divisors is an integer number (852593280).

Almost surely, 2^144449445120 is an apocalyptic number.

144449445120 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 144449445120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245546864640).

144449445120 is an abundant number, since it is smaller than the sum of its proper divisors (346644284160).

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

144449445120 is a wasteful number, since it uses less digits than its factorization.

144449445120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The spelling of 144449445120 in words is "one hundred forty-four billion, four hundred forty-nine million, four hundred forty-five thousand, one hundred twenty".