1344045142000 has 320 divisors, whose sum is σ = 3739164249600. Its totient is φ = 462124800000.

The previous prime is 1344045141991. The next prime is 1344045142109. The reversal of 1344045142000 is 2415404431.

It is a self number, because there is not a number n which added to its sum of digits gives 1344045142000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 237839175 + ... + 237844825.

It is an arithmetic number, because the mean of its divisors is an integer number (11684888280).

Almost surely, 2^{1344045142000} is an apocalyptic number.

1344045142000 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 1344045142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1869582124800).

1344045142000 is an abundant number, since it is smaller than the sum of its proper divisors (2395119107600).

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

1344045142000 is a wasteful number, since it uses less digits than its factorization.

1344045142000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6273 (or 6257 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The spelling of 1344045142000 in words is "one trillion, three hundred forty-four billion, forty-five million, one hundred forty-two thousand".