842484396000 has 1536 divisors, whose sum is σ = 3309604945920. Its totient is φ = 185462784000.

The previous prime is 842484395993. The next prime is 842484396079. The reversal of 842484396000 is 693484248.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4869851914 + ... + 4869852086.

It is an arithmetic number, because the mean of its divisors is an integer number (2154690720).

Almost surely, 2^842484396000 is an apocalyptic number.

842484396000 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 842484396000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1654802472960).

842484396000 is an abundant number, since it is smaller than the sum of its proper divisors (2467120549920).

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

842484396000 is a wasteful number, since it uses less digits than its factorization.

842484396000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

The spelling of 842484396000 in words is "eight hundred forty-two billion, four hundred eighty-four million, three hundred ninety-six thousand".