7101068711040 has 384 divisors, whose sum is σ = 25094486776320. Its totient is φ = 1849488629760.

The previous prime is 7101068711027. The next prime is 7101068711053. The reversal of 7101068711040 is 401178601017.

It is an interprime number because it is at equal distance from previous prime (7101068711027) and next prime (7101068711053).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×7101068711040² (a number of 27 digits) contains 22 as substring.

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 = 7101068710986 and 7101068711004.

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 47 ways as a sum of consecutive naturals, for example, 131813710 + ... + 131867570.

It is an arithmetic number, because the mean of its divisors is an integer number (65350225980).

Almost surely, 2^{7101068711040} 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 7101068711040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12547243388160).

7101068711040 is an abundant number, since it is smaller than the sum of its proper divisors (17993418065280).

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

7101068711040 is a wasteful number, since it uses less digits than its factorization.

7101068711040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54420 (or 54405 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 36.

The spelling of 7101068711040 in words is "seven trillion, one hundred one billion, sixty-eight million, seven hundred eleven thousand, forty".