144414433020 has 192 divisors, whose sum is σ = 475792289280. Its totient is φ = 32266214400.

The previous prime is 144414433003. The next prime is 144414433043. The reversal of 144414433020 is 20334414441.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5641450 + ... + 5666990.

It is an arithmetic number, because the mean of its divisors is an integer number (2478084840).

Almost surely, 2^144414433020 is an apocalyptic number.

144414433020 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 144414433020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237896144640).

144414433020 is an abundant number, since it is smaller than the sum of its proper divisors (331377856260).

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

144414433020 is a wasteful number, since it uses less digits than its factorization.

144414433020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26236 (or 26234 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 144414433020 its reverse (20334414441), we get a palindrome (164748847461).

The spelling of 144414433020 in words is "one hundred forty-four billion, four hundred fourteen million, four hundred thirty-three thousand, twenty".