842118144 has 88 divisors (see below), whose sum is σ = 2565267648. Its totient is φ = 240599040.

The previous prime is 842118139. The next prime is 842118157. The reversal of 842118144 is 441811248.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1924 + ... + 41084.

Almost surely, 2^842118144 is an apocalyptic number.

842118144 is a gapful number since it is divisible by the number (84) 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 842118144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282633824).

842118144 is an abundant number, since it is smaller than the sum of its proper divisors (1723149504).

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

842118144 is a wasteful number, since it uses less digits than its factorization.

842118144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39191 (or 39173 counting only the distinct ones).

The product of its digits is 8192, while the sum is 33.

The square root of 842118144 is about 29019.2719412462. The cubic root of 842118144 is about 944.3312061983.

It can be divided in two parts, 8421 and 18144, that added together give a triangular number (26565 = T₂₃₀).

The spelling of 842118144 in words is "eight hundred forty-two million, one hundred eighteen thousand, one hundred forty-four".