42809322286080 has 2112 divisors, whose sum is σ = 182293712240640. Its totient is φ = 9429928574976.

The previous prime is 42809322286063. The next prime is 42809322286151. The reversal of 42809322286080 is 8068222390824.

42809322286080 is a `hidden beast` number, since 4 + 2 + 8 + 0 + 9 + 3 + 2 + 2 + 28 + 608 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 29584879917 + ... + 29584881363.

It is an arithmetic number, because the mean of its divisors is an integer number (86313310720).

Almost surely, 2^{42809322286080} is an apocalyptic number.

42809322286080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42809322286080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91146856120320).

42809322286080 is an abundant number, since it is smaller than the sum of its proper divisors (139484389954560).

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

42809322286080 is a wasteful number, since it uses less digits than its factorization.

42809322286080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1616 (or 1586 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 42809322286080 in words is "forty-two trillion, eight hundred nine billion, three hundred twenty-two million, two hundred eighty-six thousand, eighty".