4530144516480 has 960 divisors, whose sum is σ = 18356803597440. Its totient is φ = 1062744883200.

The previous prime is 4530144516479. The next prime is 4530144516517. The reversal of 4530144516480 is 846154410354.

4530144516480 is a `hidden beast` number, since 4 + 53 + 0 + 1 + 4 + 4 + 516 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 194440192 + ... + 194463488.

It is an arithmetic number, because the mean of its divisors is an integer number (19121670414).

Almost surely, 2^{4530144516480} is an apocalyptic number.

4530144516480 is a gapful number since it is divisible by the number (40) 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 4530144516480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9178401798720).

4530144516480 is an abundant number, since it is smaller than the sum of its proper divisors (13826659080960).

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

4530144516480 is a wasteful number, since it uses less digits than its factorization.

4530144516480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23381 (or 23349 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 4530144516480 in words is "four trillion, five hundred thirty billion, one hundred forty-four million, five hundred sixteen thousand, four hundred eighty".