71375040000 has 800 divisors, whose sum is σ = 288393684480. Its totient is φ = 17280000000.

The previous prime is 71375039977. The next prime is 71375040041. The reversal of 71375040000 is 4057317.

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 79 ways as a sum of consecutive naturals, for example, 95039625 + ... + 95040375.

Almost surely, 2^71375040000 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 71375040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144196842240).

71375040000 is an abundant number, since it is smaller than the sum of its proper divisors (217018644480).

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

71375040000 is an equidigital number, since it uses as much as digits as its factorization.

71375040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

Adding to 71375040000 its reverse (4057317), we get a palindrome (71379097317).

The spelling of 71375040000 in words is "seventy-one billion, three hundred seventy-five million, forty thousand".