1073142069120 has 1280 divisors, whose sum is σ = 4284447298560. Its totient is φ = 255923712000.

The previous prime is 1073142069019. The next prime is 1073142069121. The reversal of 1073142069120 is 219602413701.

1073142069120 is a `hidden beast` number, since 10 + 7 + 314 + 206 + 9 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1073142069121) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 7106901045 + ... + 7106901195.

It is an arithmetic number, because the mean of its divisors is an integer number (3347224452).

Almost surely, 2^{1073142069120} is an apocalyptic number.

1073142069120 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 1073142069120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2142223649280).

1073142069120 is an abundant number, since it is smaller than the sum of its proper divisors (3211305229440).

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

1073142069120 is a wasteful number, since it uses less digits than its factorization.

1073142069120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 1073142069120 in words is "one trillion, seventy-three billion, one hundred forty-two million, sixty-nine thousand, one hundred twenty".