871437450240 has 2640 divisors, whose sum is σ = 3991485912480. Its totient is φ = 180592312320.

The previous prime is 871437450223. The next prime is 871437450241. The reversal of 871437450240 is 42054734178.

871437450240 is a `hidden beast` number, since 8 + 71 + 4 + 3 + 74 + 502 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (871437450241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 14285859810 + ... + 14285859870.

It is an arithmetic number, because the mean of its divisors is an integer number (1511926482).

Almost surely, 2^871437450240 is an apocalyptic number.

871437450240 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 871437450240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1995742956240).

871437450240 is an abundant number, since it is smaller than the sum of its proper divisors (3120048462240).

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

871437450240 is a wasteful number, since it uses less digits than its factorization.

871437450240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 871437450240 in words is "eight hundred seventy-one billion, four hundred thirty-seven million, four hundred fifty thousand, two hundred forty".