144441212401440 has 576 divisors, whose sum is σ = 523750827600000. Its totient is φ = 36146777554944.

The previous prime is 144441212401433. The next prime is 144441212401471. The reversal of 144441212401440 is 44104212144441.

144441212401440 is a `hidden beast` number, since 1 + 4 + 444 + 121 + 2 + 40 + 14 + 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 = 144441212401395 and 144441212401404.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1707522666 + ... + 1707607254.

It is an arithmetic number, because the mean of its divisors is an integer number (909289631250).

Almost surely, 2^{144441212401440} is an apocalyptic number.

144441212401440 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 144441212401440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261875413800000).

144441212401440 is an abundant number, since it is smaller than the sum of its proper divisors (379309615198560).

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

144441212401440 is a wasteful number, since it uses less digits than its factorization.

144441212401440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85217 (or 85206 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

Adding to 144441212401440 its reverse (44104212144441), we get a palindrome (188545424545881).

The spelling of 144441212401440 in words is "one hundred forty-four trillion, four hundred forty-one billion, two hundred twelve million, four hundred one thousand, four hundred forty".