71312135040 has 192 divisors, whose sum is σ = 247131658800. Its totient is φ = 18948464640.

The previous prime is 71312135023. The next prime is 71312135051. The reversal of 71312135040 is 4053121317.

71312135040 is a `hidden beast` number, since 7 + 131 + 21 + 3 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 71312134995 and 71312135013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1596531 + ... + 1640589.

Almost surely, 2^71312135040 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 71312135040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123565829400).

71312135040 is an abundant number, since it is smaller than the sum of its proper divisors (175819523760).

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

71312135040 is a wasteful number, since it uses less digits than its factorization.

71312135040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44365 (or 44350 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

Adding to 71312135040 its reverse (4053121317), we get a palindrome (75365256357).

The spelling of 71312135040 in words is "seventy-one billion, three hundred twelve million, one hundred thirty-five thousand, forty".