144445321440 has 384 divisors, whose sum is σ = 586413112320. Its totient is φ = 32522840064.

The previous prime is 144445321439. The next prime is 144445321477. The reversal of 144445321440 is 44123544441.

144445321440 is a `hidden beast` number, since 1 + 44 + 44 + 532 + 1 + 4 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 144445321395 and 144445321404.

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, 1990434 + ... + 2061726.

It is an arithmetic number, because the mean of its divisors is an integer number (1527117480).

Almost surely, 2^144445321440 is an apocalyptic number.

144445321440 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 144445321440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293206556160).

144445321440 is an abundant number, since it is smaller than the sum of its proper divisors (441967790880).

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

144445321440 is a wasteful number, since it uses less digits than its factorization.

144445321440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71391 (or 71377 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

Adding to 144445321440 its reverse (44123544441), we get a palindrome (188568865881).

The spelling of 144445321440 in words is "one hundred forty-four billion, four hundred forty-five million, three hundred twenty-one thousand, four hundred forty".