842781886128 has 240 divisors, whose sum is σ = 2918122561536. Its totient is φ = 221107760640.

The previous prime is 842781886109. The next prime is 842781886151. The reversal of 842781886128 is 821688187248.

842781886128 is a `hidden beast` number, since 8 + 4 + 2 + 7 + 8 + 1 + 8 + 8 + 612 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2334501 + ... + 2671227.

Almost surely, 2^842781886128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 842781886128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459061280768).

842781886128 is an abundant number, since it is smaller than the sum of its proper divisors (2075340675408).

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

842781886128 is a wasteful number, since it uses less digits than its factorization.

842781886128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336952 (or 336943 counting only the distinct ones).

The product of its digits is 22020096, while the sum is 63.

The spelling of 842781886128 in words is "eight hundred forty-two billion, seven hundred eighty-one million, eight hundred eighty-six thousand, one hundred twenty-eight".