42420381696 has 864 divisors, whose sum is σ = 162485144640. Its totient is φ = 10749542400.

The previous prime is 42420381691. The next prime is 42420381697. The reversal of 42420381696 is 69618302424.

42420381696 is a `hidden beast` number, since 424 + 203 + 8 + 16 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is not an unprimeable number, because it can be changed into a prime (42420381691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1034643436 + ... + 1034643476.

It is an arithmetic number, because the mean of its divisors is an integer number (188061510).

Almost surely, 2^42420381696 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 42420381696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81242572320).

42420381696 is an abundant number, since it is smaller than the sum of its proper divisors (120064762944).

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

42420381696 is an frugal number, since it uses more digits than its factorization.

42420381696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 64 counting only the distinct ones).

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

The spelling of 42420381696 in words is "forty-two billion, four hundred twenty million, three hundred eighty-one thousand, six hundred ninety-six".