71940480000 has 440 divisors, whose sum is σ = 242875567440. Its totient is φ = 18923520000.

The previous prime is 71940479981. The next prime is 71940480019. The reversal of 71940480000 is 8404917.

It is an interprime number because it is at equal distance from previous prime (71940479981) and next prime (71940480019).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 170879790 + ... + 170880210.

It is an arithmetic number, because the mean of its divisors is an integer number (551989926).

Almost surely, 2^71940480000 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 71940480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121437783720).

71940480000 is an abundant number, since it is smaller than the sum of its proper divisors (170935087440).

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

71940480000 is an equidigital number, since it uses as much as digits as its factorization.

71940480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

Adding to 71940480000 its reverse (8404917), we get a palindrome (71948884917).

The spelling of 71940480000 in words is "seventy-one billion, nine hundred forty million, four hundred eighty thousand".