144130131222440 has 128 divisors (see below), whose sum is σ = 356001383301120. Its totient is φ = 52081071033600.

The previous prime is 144130131222433. The next prime is 144130131222457. The reversal of 144130131222440 is 44222131031441.

144130131222440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 144130131222397 and 144130131222406.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 456483425 + ... + 456799055.

It is an arithmetic number, because the mean of its divisors is an integer number (2781260807040).

Almost surely, 2^{144130131222440} is an apocalyptic number.

144130131222440 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 144130131222440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178000691650560).

144130131222440 is an abundant number, since it is smaller than the sum of its proper divisors (211871252078680).

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

144130131222440 is a wasteful number, since it uses less digits than its factorization.

144130131222440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322183 (or 322179 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 144130131222440 its reverse (44222131031441), we get a palindrome (188352262253881).

The spelling of 144130131222440 in words is "one hundred forty-four trillion, one hundred thirty billion, one hundred thirty-one million, two hundred twenty-two thousand, four hundred forty".