42809768496 has 240 divisors, whose sum is σ = 132160103712. Its totient is φ = 12828672000.

The previous prime is 42809768467. The next prime is 42809768497. The reversal of 42809768496 is 69486790824.

42809768496 is a `hidden beast` number, since 4 + 2 + 80 + 9 + 7 + 68 + 496 = 666.

It is a super-2 number, since 2×42809768496² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42809768497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71230596 + ... + 71231196.

Almost surely, 2^42809768496 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 42809768496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66080051856).

42809768496 is an abundant number, since it is smaller than the sum of its proper divisors (89350335216).

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

42809768496 is a wasteful number, since it uses less digits than its factorization.

42809768496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 42809768496 in words is "forty-two billion, eight hundred nine million, seven hundred sixty-eight thousand, four hundred ninety-six".