7111716222240 has 576 divisors, whose sum is σ = 29429567637120. Its totient is φ = 1598884116480.

The previous prime is 7111716222211. The next prime is 7111716222323. The reversal of 7111716222240 is 422226171117.

7111716222240 is a `hidden beast` number, since 7 + 1 + 1 + 1 + 7 + 1 + 622 + 2 + 24 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 7111716222195 and 7111716222204.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12637099 + ... + 13187861.

It is an arithmetic number, because the mean of its divisors is an integer number (51092999370).

Almost surely, 2^{7111716222240} is an apocalyptic number.

7111716222240 is a gapful number since it is divisible by the number (70) 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 7111716222240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14714783818560).

7111716222240 is an abundant number, since it is smaller than the sum of its proper divisors (22317851414880).

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

7111716222240 is a wasteful number, since it uses less digits than its factorization.

7111716222240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550862 (or 550841 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 7111716222240 in words is "seven trillion, one hundred eleven billion, seven hundred sixteen million, two hundred twenty-two thousand, two hundred forty".