71410661498880 has 1008 divisors, whose sum is σ = 274206223365984. Its totient is φ = 17048945295360.

The previous prime is 71410661498873. The next prime is 71410661498927. The reversal of 71410661498880 is 8889416601417.

71410661498880 is a `hidden beast` number, since 7 + 1 + 4 + 1 + 0 + 6 + 61 + 498 + 8 + 80 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18203072599 + ... + 18203076521.

It is an arithmetic number, because the mean of its divisors is an integer number (272029983498).

Almost surely, 2^{71410661498880} 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 71410661498880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137103111682992).

71410661498880 is an abundant number, since it is smaller than the sum of its proper divisors (202795561867104).

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

71410661498880 is a wasteful number, since it uses less digits than its factorization.

71410661498880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4105 (or 4011 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 63.

The spelling of 71410661498880 in words is "seventy-one trillion, four hundred ten billion, six hundred sixty-one million, four hundred ninety-eight thousand, eight hundred eighty".