42321684096 has 192 divisors, whose sum is σ = 126206346240. Its totient is φ = 13598668800.

The previous prime is 42321684091. The next prime is 42321684101. The reversal of 42321684096 is 69048612324.

42321684096 is a `hidden beast` number, since 4 + 23 + 216 + 8 + 409 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (42321684091) and next prime (42321684101).

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×42321684096² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42321684091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9675766 + ... + 9680138.

It is an arithmetic number, because the mean of its divisors is an integer number (657324720).

Almost surely, 2^42321684096 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 42321684096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63103173120).

42321684096 is an abundant number, since it is smaller than the sum of its proper divisors (83884662144).

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

42321684096 is a wasteful number, since it uses less digits than its factorization.

42321684096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4695 (or 4680 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 42321684096 in words is "forty-two billion, three hundred twenty-one million, six hundred eighty-four thousand, ninety-six".