42410013696 has 440 divisors, whose sum is σ = 141241034880. Its totient is φ = 12596871168.

The previous prime is 42410013691. The next prime is 42410013757. The reversal of 42410013696 is 69631001424.

42410013696 is a `hidden beast` number, since 424 + 10 + 0 + 136 + 96 = 666.

42410013696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 42410013696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42410013691) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 26790121 + ... + 26791703.

It is an arithmetic number, because the mean of its divisors is an integer number (321002352).

Almost surely, 2^42410013696 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 42410013696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70620517440).

42410013696 is an abundant number, since it is smaller than the sum of its proper divisors (98831021184).

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

42410013696 is a wasteful number, since it uses less digits than its factorization.

42410013696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1651 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 42410013696 in words is "forty-two billion, four hundred ten million, thirteen thousand, six hundred ninety-six".