144332481440 has 192 divisors, whose sum is σ = 412216874496. Its totient is φ = 46684864512.

The previous prime is 144332481437. The next prime is 144332481457. The reversal of 144332481440 is 44184233441.

It is a junction number, because it is equal to n+sod(n) for n = 144332481394 and 144332481403.

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 31 ways as a sum of consecutive naturals, for example, 1842104 + ... + 1918856.

It is an arithmetic number, because the mean of its divisors is an integer number (2146962888).

Almost surely, 2^144332481440 is an apocalyptic number.

144332481440 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 144332481440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206108437248).

144332481440 is an abundant number, since it is smaller than the sum of its proper divisors (267884393056).

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

144332481440 is a wasteful number, since it uses less digits than its factorization.

144332481440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76871 (or 76863 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 38.

The spelling of 144332481440 in words is "one hundred forty-four billion, three hundred thirty-two million, four hundred eighty-one thousand, four hundred forty".