42829278960 has 320 divisors, whose sum is σ = 150446620800. Its totient is φ = 10006364160.

The previous prime is 42829278937. The next prime is 42829279007. The reversal of 42829278960 is 6987292824.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 42829278960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4728516 + ... + 4737564.

It is an arithmetic number, because the mean of its divisors is an integer number (470145690).

Almost surely, 2^42829278960 is an apocalyptic number.

42829278960 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 42829278960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75223310400).

42829278960 is an abundant number, since it is smaller than the sum of its proper divisors (107617341840).

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

42829278960 is a wasteful number, since it uses less digits than its factorization.

42829278960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9156 (or 9150 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 57.

The spelling of 42829278960 in words is "forty-two billion, eight hundred twenty-nine million, two hundred seventy-eight thousand, nine hundred sixty".