71014004774000 has 160 divisors (see below), whose sum is σ = 175431368548800. Its totient is φ = 27796880179200.

The previous prime is 71014004773997. The next prime is 71014004774021. The reversal of 71014004774000 is 47740041017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15209531 + ... + 19322469.

It is an arithmetic number, because the mean of its divisors is an integer number (1096446053430).

Almost surely, 2^{71014004774000} 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 71014004774000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87715684274400).

71014004774000 is an abundant number, since it is smaller than the sum of its proper divisors (104417363774800).

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

71014004774000 is a wasteful number, since it uses less digits than its factorization.

71014004774000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4113148 (or 4113132 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 35.

The spelling of 71014004774000 in words is "seventy-one trillion, fourteen billion, four million, seven hundred seventy-four thousand".