713440535040 has 960 divisors, whose sum is σ = 2692875144960. Its totient is φ = 180778106880.

The previous prime is 713440535039. The next prime is 713440535047. The reversal of 713440535040 is 40535044317.

713440535040 is a `hidden beast` number, since 71 + 34 + 4 + 0 + 53 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×713440535040² (a number of 25 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 = 713440534986 and 713440535004.

It is not an unprimeable number, because it can be changed into a prime (713440535047) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1280862442 + ... + 1280862998.

It is an arithmetic number, because the mean of its divisors is an integer number (2805078276).

Almost surely, 2^713440535040 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 713440535040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1346437572480).

713440535040 is an abundant number, since it is smaller than the sum of its proper divisors (1979434609920).

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

713440535040 is an equidigital number, since it uses as much as digits as its factorization.

713440535040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

Adding to 713440535040 its reverse (40535044317), we get a palindrome (753975579357).

The spelling of 713440535040 in words is "seven hundred thirteen billion, four hundred forty million, five hundred thirty-five thousand, forty".