71416800000 has 1296 divisors, whose sum is σ = 319673914560. Its totient is φ = 14929920000.

The previous prime is 71416799999. The next prime is 71416800019. The reversal of 71416800000 is 861417.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 655199946 + ... + 655200054.

Almost surely, 2^71416800000 is an apocalyptic number.

71416800000 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 71416800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159836957280).

71416800000 is an abundant number, since it is smaller than the sum of its proper divisors (248257114560).

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

71416800000 is a wasteful number, since it uses less digits than its factorization.

71416800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 71416800000 in words is "seventy-one billion, four hundred sixteen million, eight hundred thousand".