1342109040000 has 320 divisors, whose sum is σ = 4598524001280. Its totient is φ = 346348800000.

The previous prime is 1342109039951. The next prime is 1342109040007. The reversal of 1342109040000 is 409012431.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1342109040007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7349805 + ... + 7530195.

It is an arithmetic number, because the mean of its divisors is an integer number (14370387504).

Almost surely, 2^{1342109040000} is an apocalyptic number.

1342109040000 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 1342109040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2299262000640).

1342109040000 is an abundant number, since it is smaller than the sum of its proper divisors (3256414961280).

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

1342109040000 is an equidigital number, since it uses as much as digits as its factorization.

1342109040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180459 (or 180432 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The spelling of 1342109040000 in words is "one trillion, three hundred forty-two billion, one hundred nine million, forty thousand".