144114240312210 has 512 divisors, whose sum is σ = 421514108928000. Its totient is φ = 30843181264896.

The previous prime is 144114240312193. The next prime is 144114240312221. The reversal of 144114240312210 is 12213042411441.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6982607071 + ... + 6982627709.

It is an arithmetic number, because the mean of its divisors is an integer number (823269744000).

Almost surely, 2^{144114240312210} is an apocalyptic number.

144114240312210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144114240312210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210757054464000).

144114240312210 is an abundant number, since it is smaller than the sum of its proper divisors (277399868615790).

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

144114240312210 is a wasteful number, since it uses less digits than its factorization.

144114240312210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21018.

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 144114240312210 its reverse (12213042411441), we get a palindrome (156327282723651).

The spelling of 144114240312210 in words is "one hundred forty-four trillion, one hundred fourteen billion, two hundred forty million, three hundred twelve thousand, two hundred ten".