1350422814720 has 1344 divisors, whose sum is σ = 5421897492480. Its totient is φ = 285116203008.

The previous prime is 1350422814673. The next prime is 1350422814721. The reversal of 1350422814720 is 274182240531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1350422814721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8086364077 + ... + 8086364243.

It is an arithmetic number, because the mean of its divisors is an integer number (4034149920).

Almost surely, 2^{1350422814720} is an apocalyptic number.

1350422814720 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 1350422814720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2710948746240).

1350422814720 is an abundant number, since it is smaller than the sum of its proper divisors (4071474677760).

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

1350422814720 is a wasteful number, since it uses less digits than its factorization.

1350422814720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The spelling of 1350422814720 in words is "one trillion, three hundred fifty billion, four hundred twenty-two million, eight hundred fourteen thousand, seven hundred twenty".