71340349440 has 384 divisors, whose sum is σ = 234043992000. Its totient is φ = 18547212288.

The previous prime is 71340349439. The next prime is 71340349441. The reversal of 71340349440 is 4494304317.

It is an interprime number because it is at equal distance from previous prime (71340349439) and next prime (71340349441).

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71340349441) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 265205626 + ... + 265205894.

Almost surely, 2^71340349440 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 71340349440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117021996000).

71340349440 is an abundant number, since it is smaller than the sum of its proper divisors (162703642560).

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

71340349440 is a wasteful number, since it uses less digits than its factorization.

71340349440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The spelling of 71340349440 in words is "seventy-one billion, three hundred forty million, three hundred forty-nine thousand, four hundred forty".