71105461040 has 80 divisors (see below), whose sum is σ = 166861701120. Its totient is φ = 28177632000.

The previous prime is 71105461013. The next prime is 71105461051. The reversal of 71105461040 is 4016450117.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 71105460994 and 71105461012.

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 15 ways as a sum of consecutive naturals, for example, 7625501 + ... + 7634819.

It is an arithmetic number, because the mean of its divisors is an integer number (2085771264).

Almost surely, 2^71105461040 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 71105461040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83430850560).

71105461040 is an abundant number, since it is smaller than the sum of its proper divisors (95756240080).

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

71105461040 is a wasteful number, since it uses less digits than its factorization.

71105461040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10210 (or 10204 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

The spelling of 71105461040 in words is "seventy-one billion, one hundred five million, four hundred sixty-one thousand, forty".