1350340144000 has 128 divisors (see below), whose sum is σ = 3358829073600. Its totient is φ = 539887360000.

The previous prime is 1350340143959. The next prime is 1350340144031. The reversal of 1350340144000 is 4410430531.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 36925725 + ... + 36962275.

Almost surely, 2^{1350340144000} is an apocalyptic number.

1350340144000 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 1350340144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1679414536800).

1350340144000 is an abundant number, since it is smaller than the sum of its proper divisors (2008488929600).

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

1350340144000 is an equidigital number, since it uses as much as digits as its factorization.

1350340144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38889 (or 38867 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 1350340144000 its reverse (4410430531), we get a palindrome (1354750574531).

The spelling of 1350340144000 in words is "one trillion, three hundred fifty billion, three hundred forty million, one hundred forty-four thousand".