71358103440 has 800 divisors, whose sum is σ = 277677227520. Its totient is φ = 16871804928.

The previous prime is 71358103409. The next prime is 71358103459. The reversal of 71358103440 is 4430185317.

It is a happy number.

71358103440 is a `hidden beast` number, since 7 + 1 + 3 + 581 + 0 + 34 + 40 = 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 = 71358103395 and 71358103404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 265271626 + ... + 265271894.

Almost surely, 2^71358103440 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 71358103440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138838613760).

71358103440 is an abundant number, since it is smaller than the sum of its proper divisors (206319124080).

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

71358103440 is a wasteful number, since it uses less digits than its factorization.

71358103440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 71358103440 its reverse (4430185317), we get a palindrome (75788288757).

The spelling of 71358103440 in words is "seventy-one billion, three hundred fifty-eight million, one hundred three thousand, four hundred forty".