842029160427840 has 1008 divisors, whose sum is σ = 3431207878565184. Its totient is φ = 173000333721600.

The previous prime is 842029160427823. The next prime is 842029160427863. The reversal of 842029160427840 is 48724061920248.

It is a super-3 number, since 3×842029160427840³ (a number of 46 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4098539520 + ... + 4098744960.

Almost surely, 2^{842029160427840} is an apocalyptic number.

842029160427840 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 842029160427840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1715603939282592).

842029160427840 is an abundant number, since it is smaller than the sum of its proper divisors (2589178718137344).

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

842029160427840 is a wasteful number, since it uses less digits than its factorization.

842029160427840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205664 (or 205558 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 57.

The spelling of 842029160427840 in words is "eight hundred forty-two trillion, twenty-nine billion, one hundred sixty million, four hundred twenty-seven thousand, eight hundred forty".