8042819426352 has 400 divisors, whose sum is σ = 24289384442400. Its totient is φ = 2567065374720.

The previous prime is 8042819426347. The next prime is 8042819426507. The reversal of 8042819426352 is 2536249182408.

8042819426352 is a `hidden beast` number, since 8 + 0 + 4 + 281 + 9 + 4 + 2 + 6 + 352 = 666.

It is a super-2 number, since 2×8042819426352² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2373211474 + ... + 2373214862.

It is an arithmetic number, because the mean of its divisors is an integer number (60723461106).

Almost surely, 2^{8042819426352} is an apocalyptic number.

8042819426352 is a gapful number since it is divisible by the number (82) 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 8042819426352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12144692221200).

8042819426352 is an abundant number, since it is smaller than the sum of its proper divisors (16246565016048).

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

8042819426352 is a wasteful number, since it uses less digits than its factorization.

8042819426352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4266 (or 4251 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 8042819426352 in words is "eight trillion, forty-two billion, eight hundred nineteen million, four hundred twenty-six thousand, three hundred fifty-two".