427871738880 has 352 divisors, whose sum is σ = 1532251226880. Its totient is φ = 113223352320.

The previous prime is 427871738851. The next prime is 427871738891. The reversal of 427871738880 is 88837178724.

427871738880 is a `hidden beast` number, since 42 + 78 + 71 + 7 + 388 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18097627 + ... + 18121253.

It is an arithmetic number, because the mean of its divisors is an integer number (4352986440).

Almost surely, 2^427871738880 is an apocalyptic number.

427871738880 is a gapful number since it is divisible by the number (40) 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 427871738880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766125613440).

427871738880 is an abundant number, since it is smaller than the sum of its proper divisors (1104379488000).

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

427871738880 is a wasteful number, since it uses less digits than its factorization.

427871738880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23792 (or 23768 counting only the distinct ones).

The product of its (nonzero) digits is 33718272, while the sum is 63.

The spelling of 427871738880 in words is "four hundred twenty-seven billion, eight hundred seventy-one million, seven hundred thirty-eight thousand, eight hundred eighty".