1344150612000 has 672 divisors, whose sum is σ = 5659059579264. Its totient is φ = 307229760000.

The previous prime is 1344150611983. The next prime is 1344150612023. The reversal of 1344150612000 is 2160514431.

It is a happy number.

1344150612000 is a `hidden beast` number, since 1 + 3 + 4 + 41 + 5 + 0 + 612 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 111 ways as a sum of consecutive naturals, for example, 20379075 + ... + 20444925.

It is an arithmetic number, because the mean of its divisors is an integer number (8421219612).

Almost surely, 2^{1344150612000} is an apocalyptic number.

1344150612000 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 1344150612000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2829529789632).

1344150612000 is an abundant number, since it is smaller than the sum of its proper divisors (4314908967264).

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

1344150612000 is an frugal number, since it uses more digits than its factorization.

1344150612000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65901 (or 65868 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 1344150612000 in words is "one trillion, three hundred forty-four billion, one hundred fifty million, six hundred twelve thousand".