42719838336 has 384 divisors, whose sum is σ = 149377612800. Its totient is φ = 11446769664.

The previous prime is 42719838323. The next prime is 42719838347. The reversal of 42719838336 is 63383891724.

42719838336 is a `hidden beast` number, since 4 + 271 + 9 + 8 + 38 + 336 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15779895 + ... + 15782601.

It is an arithmetic number, because the mean of its divisors is an integer number (389004200).

Almost surely, 2^42719838336 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 42719838336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74688806400).

42719838336 is an abundant number, since it is smaller than the sum of its proper divisors (106657774464).

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

42719838336 is a wasteful number, since it uses less digits than its factorization.

42719838336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2856 (or 2841 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 42719838336 in words is "forty-two billion, seven hundred nineteen million, eight hundred thirty-eight thousand, three hundred thirty-six".