8042267579136 has 288 divisors, whose sum is σ = 24701217128448. Its totient is φ = 2275379527680.

The previous prime is 8042267579123. The next prime is 8042267579183. The reversal of 8042267579136 is 6319757622408.

It is a self number, because there is not a number n which added to its sum of digits gives 8042267579136.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 369357946 + ... + 369379718.

It is a 1-persistent number, because it is pandigital, but 2⋅8042267579136 = 16084535158272 is not.

Almost surely, 2^{8042267579136} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8042267579136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12350608564224).

8042267579136 is an abundant number, since it is smaller than the sum of its proper divisors (16658949549312).

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

8042267579136 is a wasteful number, since it uses less digits than its factorization.

8042267579136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22467 (or 22453 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 60.

The spelling of 8042267579136 in words is "eight trillion, forty-two billion, two hundred sixty-seven million, five hundred seventy-nine thousand, one hundred thirty-six".