144440634164340 has 192 divisors, whose sum is σ = 437379670425600. Its totient is φ = 35476840679424.

The previous prime is 144440634164329. The next prime is 144440634164341. The reversal of 144440634164340 is 43461436044441.

144440634164340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×144440634164340² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 144440634164340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144440634164341) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 486874171 + ... + 487170749.

It is an arithmetic number, because the mean of its divisors is an integer number (2278019116800).

Almost surely, 2^{144440634164340} is an apocalyptic number.

144440634164340 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 144440634164340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218689835212800).

144440634164340 is an abundant number, since it is smaller than the sum of its proper divisors (292939036261260).

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

144440634164340 is a wasteful number, since it uses less digits than its factorization.

144440634164340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306814 (or 306812 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 48.

The spelling of 144440634164340 in words is "one hundred forty-four trillion, four hundred forty billion, six hundred thirty-four million, one hundred sixty-four thousand, three hundred forty".