1342000314144 has 144 divisors (see below), whose sum is σ = 4371623343360. Its totient is φ = 382538787840.

The previous prime is 1342000314121. The next prime is 1342000314191. The reversal of 1342000314144 is 4414130002431.

1342000314144 is a `hidden beast` number, since 1 + 3 + 4 + 200 + 0 + 314 + 144 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96652 + ... + 1641140.

It is an arithmetic number, because the mean of its divisors is an integer number (30358495440).

Almost surely, 2^{1342000314144} is an apocalyptic number.

1342000314144 is a gapful number since it is divisible by the number (14) 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 1342000314144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2185811671680).

1342000314144 is an abundant number, since it is smaller than the sum of its proper divisors (3029623029216).

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

1342000314144 is a wasteful number, since it uses less digits than its factorization.

1342000314144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1544943 (or 1544932 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1342000314144 its reverse (4414130002431), we get a palindrome (5756130316575).

The spelling of 1342000314144 in words is "one trillion, three hundred forty-two billion, three hundred fourteen thousand, one hundred forty-four".