71041011120 has 240 divisors, whose sum is σ = 255398986752. Its totient is φ = 18333008640.

The previous prime is 71041011071. The next prime is 71041011121. The reversal of 71041011120 is 2111014017.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 71041011093 and 71041011102.

It is not an unprimeable number, because it can be changed into a prime (71041011121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 543699 + ... + 661581.

Almost surely, 2^71041011120 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 71041011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127699493376).

71041011120 is an abundant number, since it is smaller than the sum of its proper divisors (184357975632).

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

71041011120 is a wasteful number, since it uses less digits than its factorization.

71041011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117942 (or 117924 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 18.

Adding to 71041011120 its reverse (2111014017), we get a palindrome (73152025137).

The spelling of 71041011120 in words is "seventy-one billion, forty-one million, eleven thousand, one hundred twenty".