144224340480 has 1280 divisors, whose sum is σ = 599618764800. Its totient is φ = 32514048000.

The previous prime is 144224340479. The next prime is 144224340521. The reversal of 144224340480 is 84043422441.

144224340480 is a `hidden beast` number, since 1 + 4 + 4 + 2 + 243 + 404 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 683527575 + ... + 683527785.

It is an arithmetic number, because the mean of its divisors is an integer number (468452160).

Almost surely, 2^144224340480 is an apocalyptic number.

144224340480 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 144224340480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299809382400).

144224340480 is an abundant number, since it is smaller than the sum of its proper divisors (455394424320).

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

144224340480 is a wasteful number, since it uses less digits than its factorization.

144224340480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

The spelling of 144224340480 in words is "one hundred forty-four billion, two hundred twenty-four million, three hundred forty thousand, four hundred eighty".