42822318435456 has 1024 divisors, whose sum is σ = 142988041912320. Its totient is φ = 11077666209792.

The previous prime is 42822318435383. The next prime is 42822318435497. The reversal of 42822318435456 is 65453481322824.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 42822318435396 and 42822318435405.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 39178698846 + ... + 39178699938.

It is an arithmetic number, because the mean of its divisors is an integer number (139636759680).

Almost surely, 2^{42822318435456} 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 42822318435456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71494020956160).

42822318435456 is an abundant number, since it is smaller than the sum of its proper divisors (100165723476864).

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

42822318435456 is a wasteful number, since it uses less digits than its factorization.

42822318435456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1461 (or 1449 counting only the distinct ones).

The product of its digits is 44236800, while the sum is 57.

The spelling of 42822318435456 in words is "forty-two trillion, eight hundred twenty-two billion, three hundred eighteen million, four hundred thirty-five thousand, four hundred fifty-six".