42572833344 has 168 divisors, whose sum is σ = 126941625720. Its totient is φ = 13624934400.

The previous prime is 42572833343. The next prime is 42572833393. The reversal of 42572833344 is 44333827524.

42572833344 is a `hidden beast` number, since 4 + 2 + 572 + 8 + 3 + 33 + 44 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2508807744 + 40064025600 = 50088^2 + 200160^2 .

It is a super-2 number, since 2×42572833344² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42572833344.

It is not an unprimeable number, because it can be changed into a prime (42572833343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3016384 + ... + 3030464.

It is an arithmetic number, because the mean of its divisors is an integer number (755604915).

Almost surely, 2^42572833344 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 42572833344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63470812860).

42572833344 is an abundant number, since it is smaller than the sum of its proper divisors (84368792376).

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

42572833344 is a wasteful number, since it uses less digits than its factorization.

42572833344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14309 (or 14296 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 45.

The spelling of 42572833344 in words is "forty-two billion, five hundred seventy-two million, eight hundred thirty-three thousand, three hundred forty-four".