871141440 has 336 divisors, whose sum is σ = 3122054208. Its totient is φ = 204546048.

The previous prime is 871141417. The next prime is 871141441. The reversal of 871141440 is 44141178.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 871141398 and 871141407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (871141441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10495639 + ... + 10495721.

It is an arithmetic number, because the mean of its divisors is an integer number (9291828).

Almost surely, 2^871141440 is an apocalyptic number.

871141440 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 871141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1561027104).

871141440 is an abundant number, since it is smaller than the sum of its proper divisors (2250912768).

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

871141440 is a wasteful number, since it uses less digits than its factorization.

871141440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 871141440 is about 29515.1052852603. The cubic root of 871141440 is about 955.0575844959.

It can be divided in two parts, 871 and 141440, that added together give a triangular number (142311 = T₅₃₃).

The spelling of 871141440 in words is "eight hundred seventy-one million, one hundred forty-one thousand, four hundred forty".