144144505462440 has 128 divisors (see below), whose sum is σ = 511251448032000. Its totient is φ = 31811201200128.

The previous prime is 144144505462369. The next prime is 144144505462537. The reversal of 144144505462440 is 44264505441441.

It is a super-2 number, since 2×144144505462440² (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 144144505462440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2958606705 + ... + 2958655424.

It is an arithmetic number, because the mean of its divisors is an integer number (3994151937750).

Almost surely, 2^{144144505462440} is an apocalyptic number.

144144505462440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144144505462440 is an abundant number, since it is smaller than the sum of its proper divisors (367106942569560).

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

144144505462440 is a wasteful number, since it uses less digits than its factorization.

144144505462440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5917262179 (or 5917262175 counting only the distinct ones).

The product of its (nonzero) digits is 4915200, while the sum is 48.

The spelling of 144144505462440 in words is "one hundred forty-four trillion, one hundred forty-four billion, five hundred five million, four hundred sixty-two thousand, four hundred forty".