871303910400 has 3168 divisors, whose sum is σ = 4310706097152. Its totient is φ = 168807628800.

The previous prime is 871303910363. The next prime is 871303910401. The reversal of 871303910400 is 4019303178.

It is a happy number.

871303910400 is a `hidden beast` number, since 87 + 130 + 39 + 10 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (871303910401) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8143027147 + ... + 8143027253.

Almost surely, 2^871303910400 is an apocalyptic number.

871303910400 is a gapful number since it is divisible by the number (80) 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 871303910400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2155353048576).

871303910400 is an abundant number, since it is smaller than the sum of its proper divisors (3439402186752).

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

871303910400 is a wasteful number, since it uses less digits than its factorization.

871303910400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 871303910400 in words is "eight hundred seventy-one billion, three hundred three million, nine hundred ten thousand, four hundred".