71345165040 has 160 divisors (see below), whose sum is σ = 245831319360. Its totient is φ = 19018653696.

The previous prime is 71345164993. The next prime is 71345165041. The reversal of 71345165040 is 4056154317.

71345165040 is a `hidden beast` number, since 7 + 134 + 5 + 16 + 504 + 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 = 71345164986 and 71345165004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71345165041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10401292 + ... + 10408148.

It is an arithmetic number, because the mean of its divisors is an integer number (1536445746).

Almost surely, 2^71345165040 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 71345165040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122915659680).

71345165040 is an abundant number, since it is smaller than the sum of its proper divisors (174486154320).

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

71345165040 is a wasteful number, since it uses less digits than its factorization.

71345165040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11696 (or 11684 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 71345165040 in words is "seventy-one billion, three hundred forty-five million, one hundred sixty-five thousand, forty".