144122211040 has 96 divisors (see below), whose sum is σ = 360770669280. Its totient is φ = 54219669504.

The previous prime is 144122211019. The next prime is 144122211109. The reversal of 144122211040 is 40112221441.

It is a super-4 number, since 4×144122211040⁴ (a number of 46 digits) contains 4444 as substring.

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 15 ways as a sum of consecutive naturals, for example, 4015896 + ... + 4051624.

It is an arithmetic number, because the mean of its divisors is an integer number (3758027805).

Almost surely, 2^144122211040 is an apocalyptic number.

144122211040 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 144122211040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180385334640).

144122211040 is an abundant number, since it is smaller than the sum of its proper divisors (216648458240).

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

144122211040 is a wasteful number, since it uses less digits than its factorization.

144122211040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37244 (or 37236 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 144122211040 its reverse (40112221441), we get a palindrome (184234432481).

The spelling of 144122211040 in words is "one hundred forty-four billion, one hundred twenty-two million, two hundred eleven thousand, forty".