144441212401395 has 128 divisors (see below), whose sum is σ = 316051137024000. Its totient is φ = 60949314929664.

The previous prime is 144441212401373. The next prime is 144441212401433. The reversal of 144441212401395 is 593104212144441.

144441212401395 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 4 + 1 + 212 + 40 + 1 + 395 = 666.

It is not a de Polignac number, because 144441212401395 - 2¹¹ = 144441212399347 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 144441212401395.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 502349631 + ... + 502637079.

It is an arithmetic number, because the mean of its divisors is an integer number (2469149508000).

Almost surely, 2^{144441212401395} is an apocalyptic number.

144441212401395 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

144441212401395 is an abundant number, since it is smaller than the sum of its proper divisors (171609924622605).

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

144441212401395 is a wasteful number, since it uses less digits than its factorization.

144441212401395 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328386 (or 328380 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 144441212401395 in words is "one hundred forty-four trillion, four hundred forty-one billion, two hundred twelve million, four hundred one thousand, three hundred ninety-five".