842144808960 has 1152 divisors, whose sum is σ = 3692315612160. Its totient is φ = 177343561728.

The previous prime is 842144808881. The next prime is 842144809001. The reversal of 842144808960 is 69808441248.

It is a happy number.

842144808960 is a `hidden beast` number, since 8 + 4 + 21 + 4 + 480 + 89 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 842144808897 and 842144808906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1610219259 + ... + 1610219781.

It is an arithmetic number, because the mean of its divisors is an integer number (3205135080).

Almost surely, 2^842144808960 is an apocalyptic number.

842144808960 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 842144808960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1846157806080).

842144808960 is an abundant number, since it is smaller than the sum of its proper divisors (2850170803200).

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

842144808960 is an equidigital number, since it uses as much as digits as its factorization.

842144808960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 842144808960 in words is "eight hundred forty-two billion, one hundred forty-four million, eight hundred eight thousand, nine hundred sixty".