7042816000000 has 840 divisors, whose sum is σ = 19997853711696. Its totient is φ = 2457600000000.

The previous prime is 7042815999991. The next prime is 7042816000001. The reversal of 7042816000000 is 6182407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7042816000001) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 115455999970 + ... + 115456000030.

Almost surely, 2^{7042816000000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7042816000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9998926855848).

7042816000000 is an abundant number, since it is smaller than the sum of its proper divisors (12955037711696).

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

7042816000000 is an frugal number, since it uses more digits than its factorization.

7042816000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

It can be divided in two parts, 704 and 2816000000, that multiplied together give a square (1982464000000 = 1408000²).

The spelling of 7042816000000 in words is "seven trillion, forty-two billion, eight hundred sixteen million", and thus it is an aban number.