71210711040 has 768 divisors, whose sum is σ = 283989888000. Its totient is φ = 14863564800.

The previous prime is 71210711027. The next prime is 71210711057. The reversal of 71210711040 is 4011701217.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 71210711040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 118486740 + ... + 118487340.

It is an arithmetic number, because the mean of its divisors is an integer number (369778500).

Almost surely, 2^71210711040 is an apocalyptic number.

71210711040 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71210711040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141994944000).

71210711040 is an abundant number, since it is smaller than the sum of its proper divisors (212779176960).

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

71210711040 is a wasteful number, since it uses less digits than its factorization.

71210711040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 24.

The spelling of 71210711040 in words is "seventy-one billion, two hundred ten million, seven hundred eleven thousand, forty".