71001134400000 has 480 divisors, whose sum is σ = 270199204894080. Its totient is φ = 16228823040000.

The previous prime is 71001134399977. The next prime is 71001134400043. The reversal of 71001134400000 is 443110017.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×71001134400000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 71001134400000.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32543436 + ... + 34656564.

It is an arithmetic number, because the mean of its divisors is an integer number (562915010196).

Almost surely, 2^{71001134400000} is an apocalyptic number.

71001134400000 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 71001134400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135099602447040).

71001134400000 is an abundant number, since it is smaller than the sum of its proper divisors (199198070494080).

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

71001134400000 is an frugal number, since it uses more digits than its factorization.

71001134400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2113182 (or 2113146 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

Adding to 71001134400000 its reverse (443110017), we get a palindrome (71001577510017).

The spelling of 71001134400000 in words is "seventy-one trillion, one billion, one hundred thirty-four million, four hundred thousand".