842766031404 has 216 divisors, whose sum is σ = 2483686645440. Its totient is φ = 240092424000.

The previous prime is 842766031397. The next prime is 842766031453. The reversal of 842766031404 is 404130667248.

842766031404 is a `hidden beast` number, since 8 + 4 + 27 + 6 + 603 + 14 + 0 + 4 = 666.

It is a super-2 number, since 2×842766031404² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 842766031404.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10803219 + ... + 10880949.

Almost surely, 2^842766031404 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 842766031404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1241843322720).

842766031404 is an abundant number, since it is smaller than the sum of its proper divisors (1640920614036).

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

842766031404 is a wasteful number, since it uses less digits than its factorization.

842766031404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77913 (or 77897 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 842766031404 in words is "eight hundred forty-two billion, seven hundred sixty-six million, thirty-one thousand, four hundred four".