42359952960 has 336 divisors, whose sum is σ = 157223277120. Its totient is φ = 10406154240.

The previous prime is 42359952931. The next prime is 42359952979. The reversal of 42359952960 is 6925995324.

It is a happy number.

42359952960 is a `hidden beast` number, since 4 + 2 + 3 + 59 + 9 + 529 + 60 = 666.

It is a super-2 number, since 2×42359952960² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42359952897 and 42359952906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27667395 + ... + 27668925.

It is an arithmetic number, because the mean of its divisors is an integer number (467926420).

Almost surely, 2^42359952960 is an apocalyptic number.

42359952960 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 42359952960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78611638560).

42359952960 is an abundant number, since it is smaller than the sum of its proper divisors (114863324160).

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

42359952960 is a wasteful number, since it uses less digits than its factorization.

42359952960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2306 (or 2293 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 42359952960 in words is "forty-two billion, three hundred fifty-nine million, nine hundred fifty-two thousand, nine hundred sixty".