71042400000 has 1728 divisors, whose sum is σ = 321909396480. Its totient is φ = 15206400000.

The previous prime is 71042399971. The next prime is 71042400001. The reversal of 71042400000 is 424017.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71042400001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3088799989 + ... + 3088800011.

It is an arithmetic number, because the mean of its divisors is an integer number (186290160).

Almost surely, 2^71042400000 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 71042400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160954698240).

71042400000 is an abundant number, since it is smaller than the sum of its proper divisors (250866996480).

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

71042400000 is a wasteful number, since it uses less digits than its factorization.

71042400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

Adding to 71042400000 its reverse (424017), we get a palindrome (71042824017).

The spelling of 71042400000 in words is "seventy-one billion, forty-two million, four hundred thousand".