144383480640 has 1344 divisors, whose sum is σ = 652179340800. Its totient is φ = 29350232064.

The previous prime is 144383480617. The next prime is 144383480653. The reversal of 144383480640 is 46084383441.

144383480640 is a `hidden beast` number, since 14 + 43 + 83 + 480 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 371165566 + ... + 371165954.

Almost surely, 2^144383480640 is an apocalyptic number.

144383480640 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 144383480640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326089670400).

144383480640 is an abundant number, since it is smaller than the sum of its proper divisors (507795860160).

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

144383480640 is a wasteful number, since it uses less digits than its factorization.

144383480640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 144383480640 in words is "one hundred forty-four billion, three hundred eighty-three million, four hundred eighty thousand, six hundred forty".