842721127248 has 480 divisors, whose sum is σ = 2997081924480. Its totient is φ = 200565227520.

The previous prime is 842721127247. The next prime is 842721127249.

842721127248 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (842721127247) and next prime (842721127249).

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

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

It is a junction number, because it is equal to n+sod(n) for n = 842721127197 and 842721127206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (842721127247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46068888 + ... + 46087176.

It is an arithmetic number, because the mean of its divisors is an integer number (6243920676).

Almost surely, 2^842721127248 is an apocalyptic number.

842721127248 is a gapful number since it is divisible by the number (88) 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 842721127248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1498540962240).

842721127248 is an abundant number, since it is smaller than the sum of its proper divisors (2154360797232).

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

842721127248 is a wasteful number, since it uses less digits than its factorization.

842721127248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18475 (or 18462 counting only the distinct ones).

The product of its digits is 802816, while the sum is 48.

It can be divided in two parts, 842721 and 127248, that added together give a palindrome (969969).

The spelling of 842721127248 in words is "eight hundred forty-two billion, seven hundred twenty-one million, one hundred twenty-seven thousand, two hundred forty-eight".