713640040 has 48 divisors (see below), whose sum is σ = 1644070500. Its totient is φ = 278788608.

The previous prime is 713640029. The next prime is 713640041. The reversal of 713640040 is 40046317.

It can be written as a sum of positive squares in 2 ways, for example, as 652393764 + 61246276 = 25542^2 + 7826^2 .

It is a junction number, because it is equal to n+sod(n) for n = 713639987 and 713640014.

It is not an unprimeable number, because it can be changed into a prime (713640041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69136 + ... + 78784.

Almost surely, 2^713640040 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 713640040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822035250).

713640040 is an abundant number, since it is smaller than the sum of its proper divisors (930430460).

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

713640040 is a wasteful number, since it uses less digits than its factorization.

713640040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9746 (or 9699 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 713640040 is about 26714.0420004162. The cubic root of 713640040 is about 893.6341076521.

Adding to 713640040 its reverse (40046317), we get a palindrome (753686357).

The spelling of 713640040 in words is "seven hundred thirteen million, six hundred forty thousand, forty".