871400436480 has 360 divisors, whose sum is σ = 3563465956512. Its totient is φ = 199177076736.

The previous prime is 871400436479. The next prime is 871400436547. The reversal of 871400436480 is 84634004178.

871400436480 is a `hidden beast` number, since 8 + 71 + 400 + 43 + 64 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 125424 + ... + 1326096.

Almost surely, 2^871400436480 is an apocalyptic number.

871400436480 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 871400436480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1781732978256).

871400436480 is an abundant number, since it is smaller than the sum of its proper divisors (2692065520032).

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

871400436480 is a wasteful number, since it uses less digits than its factorization.

871400436480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200713 (or 1200690 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 871400436480 in words is "eight hundred seventy-one billion, four hundred million, four hundred thirty-six thousand, four hundred eighty".